Dynamic Properties of Stay Cables on

the Penobscot Narrows Bridge 

PUBLICATION NO. FHWA-HRT-14-067 SEPTEMBER 2014

Research, Development, and Technology

Turner-Fairbank Highway Research Center

6300 Georgetown Pike

McLean, VA 22101-2296
FOREWORD

Cable-stayed bridges have become the form of choice over the past several decades for bridges 

in the medium- to long-span range. In some cases, serviceability problems involving large 

amplitude vibrations of stay cables under certain wind and wind-rain conditions have been 

observed. This study was conducted in response to State transportation departments’ requests to 

develop improved design guidance for mitigation of excessive cable vibrations on cable-stayed 

bridges. The study included full scale forced vibration tests on the cables of a new cable-stayed 

bridge to characterize cable dynamic behavior and evaluate effectiveness of mitigation details

such as dampers. The results of this study will be made available to the Post-Tensioning 

Institute’s DC-45 Cable-Stayed Bridge Committee for consideration during their periodic 

updates of the Guide Specification, Recommendations for Stay Cable Design, Testing, and 

Installation.

This report will be of interest to bridge engineers, wind engineers, and consultants involved in 

the design of cable-stayed bridges. It is the second in a series of reports addressing the subject of 

aerodynamic stability of bridge stay cables that will be published in the coming months.

Jorge E. Pagán-Ortiz

Director, Office of Infrastructure

Research and Development

Notice

This document is disseminated under the sponsorship of the U.S. Department of Transportation in the 

interest of information exchange. The U.S. Government assumes no liability for the use of the information 

contained in this document. This report does not constitute a standard, specification, or regulation.

The U.S. Government does not endorse products or manufacturers. Trademarks or manufacturers’ names 

appear in this report only because they are considered essential to the objective of the document.

Quality Assurance Statement

The Federal Highway Administration (FHWA) provides high-quality information to serve Government, 

industry, and the public in a manner that promotes public understanding. Standards and policies are used 

to ensure and maximize the quality, objectivity, utility, and integrity of its information. FHWA 

periodically reviews quality issues and adjusts its programs and processes to ensure continuous quality 

improvement.
TECHNICAL REPORT DOCUMENTATION PAGE

1. Report No.

FHWA-HRT-14-067

2. Government Accession No. 3. Recipient’s Catalog No.

4. Title and Subtitle

Dynamic Properties of Stay Cables on the Penobscot Narrows Bridge

5. Report Date

September 2014

6. Performing Organization Code

7. Author(s)

Harold R. Bosch and James R. Pagenkopf

8. Performing Organization Report No.

9. Performing Organization Name and Address

Genex Systems, LLC

2 Eaton Street, Suite 603

Hampton, VA 23669

10. Work Unit No. (TRAIS)

11. Contract or Grant No.

DTFH61-07-D-00034

12. Sponsoring Agency Name and Address

Office of Infrastructure R&D

Federal Highway Administration

6300 Georgetown Pike

McLean, VA 22101-2296

13. Type of Report and Period Covered

Laboratory Report

December 2006 to December 2010

14. Sponsoring Agency Code

HRDI-50

15. Supplementary Notes

The Contracting Officer’s Technical Representative (COTR): Harold R. Bosch (HRDI-50)

16. Abstract

Cable-stayed bridges have been recognized as the most efficient and cost effective structural form for medium to long 

span bridges over the past several decades. With their widespread use, cases of serviceability problems associated with 

large amplitude vibration of stay cables have been reported. Stay cables are laterally flexible structural members with 

very low inherent damping and thus are highly susceptible to environmental conditions such as wind and rain/wind 

combination. 

Recognition of these problems led to the incorporation of different types of mitigation measures on many cable-stayed 

bridges around the world. These measures included surface modifications, cable crossties and external dampers. 

Modification of cable surfaces has been widely accepted as a means to mitigate rain/wind vibrations. Recent studies 

have firmly established the formation of a water rivulet along the upper side of the stay and its interaction with wind 

flow as the main cause of rain/wind vibrations. Appropriate modification of exterior cable surface effectively disrupts 

the formation of a water rivulet.

The objective of this study was to supplement the existing knowledge base on some of the outstanding issues of stay 

cable vibrations and develop technical recommendations that may be incorporated into design guidelines. Specifically, 

this project focused on identification of in-situ cable dynamic properties and performance of external viscous dampers 

on the Penobscot Narrows Bridge. Forced vibration tests were conducted on the stay cables during the latter stages of 

construction, just prior to and following installation of viscous dampers. Cable properties, such as vibration frequencies 

and damping levels, were established and compared with design targets.

17. Key Words

Cable-Stayed Bridges, Cables, Vibrations, Wind, Rain, Dampers, Hazard 

Mitigation

18. Distribution Statement

No restrictions. This document is available 

to the public through NTIS:

National Technical Information Service

Springfield, VA 22161

http://www.ntis.gov

19. Security Classif. (of this report)

Unclassified

20. Security Classif. (of this page)

Unclassified

21. No. of Pages

179

22. Price

Form DOT F 1700.7 (8-72) Reproduction of completed page authorized
ii

SI* (MODERN METRIC) CONVERSION FACTORS 

APPROXIMATE CONVERSIONS TO SI UNITS

Symbol When You Know Multiply By To Find Symbol 

LENGTH

in inches 25.4 millimeters mm 

ft feet 0.305 meters m 

yd yards 0.914 meters m 

mi miles 1.61 kilometers km 

AREA 

in2square inches 645.2 square millimeters mm2

ft2 square feet 0.093 square meters m

2

yd2 square yard 0.836 square meters m

2

ac acres 0.405 hectares ha

mi2square miles 2.59 square kilometers km2

VOLUME 

fl oz fluid ounces 29.57 milliliters mL 

gal gallons 3.785 liters L 

ft3 cubic feet 0.028 cubic meters m

3 

yd3 cubic yards 0.765 cubic meters m

3 

NOTE: volumes greater than 1000 L shall be shown in m3

MASS 

oz ounces 28.35 grams g

lb pounds 0.454 kilograms kg

T short tons (2000 lb) 0.907 megagrams (or "metric ton") Mg (or "t") 

TEMPERATURE (exact degrees) 

o

F Fahrenheit 5 (F-32)/9 Celsius oC 

or (F-32)/1.8 

ILLUMINATION 

fc foot-candles 10.76 lux lx

fl foot-Lamberts 3.426 candela/m2 cd/m2

FORCE and PRESSURE or STRESS 

lbf poundforce 4.45 newtons N 

lbf/in2poundforce per square inch 6.89 kilopascals kPa 

APPROXIMATE CONVERSIONS FROM SI UNITS 

Symbol When You Know Multiply By To Find Symbol 

LENGTH

mm millimeters 0.039 inches in 

m meters 3.28 feet ft 

m meters 1.09 yards yd 

km kilometers 0.621 miles mi 

AREA 

mm2square millimeters 0.0016 square inches in2 

m

2

square meters 10.764 square feet ft2 

m

2

square meters 1.195 square yards yd2 

ha hectares 2.47 acres ac

km2 square kilometers 0.386 square miles mi2 

VOLUME 

mL milliliters 0.034 fluid ounces fl oz 

L liters 0.264 gallons gal 

m

3 cubic meters 35.314 cubic feet ft3 

m

3 cubic meters 1.307 cubic yards yd3 

MASS 

g grams 0.035 ounces oz

kg kilograms 2.202 pounds lb

Mg (or "t") megagrams (or "metric ton") 1.103 short tons (2000 lb) T 

TEMPERATURE (exact degrees)

oC Celsius 1.8C+32 Fahrenheit o

F 

ILLUMINATION 

lx lux 0.0929 foot-candles fc 

cd/m2candela/m

2

0.2919 foot-Lamberts fl

FORCE and PRESSURE or STRESS 

N newtons 0.225 poundforce lbf 

kPa kilopascals 0.145 poundforce per square inch lbf/in2

*SI is the symbol for the International System of Units. Appropriate rounding should be made to comply with Section 4 of ASTM E380. 

(Revised March 2003)
iii

TABLE OF CONTENTS

CHAPTER 1. INTRODUCTION................................................................................................ 1

CHAPTER 2. THEORETICAL BACKGROUND.................................................................... 3

VIBRATION OF TAUT STRING WITH DISTRIBUTED DAMPING........................... 3

DETERMINATION OF DAMPING RATIOS.................................................................... 4

CHAPTER 3. EXPERIMENTAL PROCEDURES................................................................... 5

THE TEST BRIDGE.............................................................................................................. 5

SET-UP AND PROCEDURES ............................................................................................ 10

CHAPTER 4. PHASE 1 INVESTIGATION............................................................................ 15

TESTING............................................................................................................................... 15

ANALYSIS ............................................................................................................................ 15

Frequency Content............................................................................................................ 15

Damping Analysis............................................................................................................. 16

DISCUSSION........................................................................................................................ 21

Frequency Content............................................................................................................ 21

Damping Ratios ................................................................................................................ 22

Scruton Number Analysis................................................................................................. 24

Aerodynamic Damping..................................................................................................... 25

CHAPTER 5. PHASE 2 INVESTIGATION............................................................................ 27

TESTING............................................................................................................................... 27

ANALYSIS ............................................................................................................................ 28

Frequency Content............................................................................................................ 28

Damping Analysis............................................................................................................. 28

DISCUSSION........................................................................................................................ 32

Frequency Content............................................................................................................ 32

Damping Ratios ................................................................................................................ 33

Scruton Number Analysis................................................................................................. 34

Aerodynamic Damping..................................................................................................... 35

CHAPTER 6. SUMMARY OF COMPARISONS................................................................... 37

FREQUENCY ....................................................................................................................... 37

DAMPING............................................................................................................................. 39

SCRUTON NUMBER .......................................................................................................... 40

CHAPTER 7. CONCLUSIONS................................................................................................. 41

APPENDIX A. MODE FREQUENCY TABLES .................................................................... 43

APPENDIX B. MODE FREQUENCY PLOTS ....................................................................... 55
iv

APPENDIX C. DAMPING RATIO TABLES.......................................................................... 59

APPENDIX D. DAMPING PLOTS ........................................................................................ 111

APPENDIX E. AERODYNAMIC DAMPING DATA.......................................................... 117

APPENDIX F. AERODYNAMIC DAMPING PLOTS ........................................................ 127

PHASE 1 AERODYNAMIC DAMPING PLOTS ........................................................... 127

PHASE 2 AERODYNAMIC DAMPING PLOTS ........................................................... 136

APPENDIX G. CABLE PROPERTIES ................................................................................. 163

ACKNOWLEDGEMENTS ..................................................................................................... 165

REFERENCES.......................................................................................................................... 167
v

LIST OF FIGURES

Figure 1. Photo. The Penobscot Narrows Bridge ........................................................................... 1

Figure 2. Equation. Equation of motion (EOM) for a string .......................................................... 3

Figure 3. Equation. General solution of EOM................................................................................ 3

Figure 4. Equation. EOM for a string ............................................................................................. 3

Figure 5. Equation. General solution to EOM................................................................................ 3

Figure 6. Equation. Damped natural frequency.............................................................................. 3

Figure 7. Equation. Ratio of two consecutive peaks....................................................................... 4

Figure 8. Equation. Logarithmic decrement ................................................................................... 4

Figure 9. Equation. Damping ratio ................................................................................................. 4

Figure 10. Illustration. Map of the Penobscot Narrows Bridge site ............................................... 5

Figure 11. Illustration. Bridge plan and elevation .......................................................................... 6

Figure 12. Illustration. Bridge main span cross-section ................................................................. 7

Figure 13. Photo. Bridge observatory............................................................................................. 7

Figure 14. Photo. Bridge cable fan configuration........................................................................... 8

Figure 15. Illustration. Bridge stay cable assembly details ............................................................ 9

Figure 16. Photo. Detail of lower end of bridge cables.................................................................. 9

Figure 17. Photo. Accelerometers mounted on stay cable............................................................ 10

Figure 18. Photo. Data acquisition system.................................................................................... 11

Figure 19. Illustration. Location of accelerometers during testing............................................... 12

Figure 20. Illustration. Arrangement of cables tested during phase 1 .......................................... 15

Figure 21. Graph. Phase 1 spectral density plot of cable 19A, run 3............................................ 16

Figure 22. Graph. The effect of the bandpass filter on the spectral density, before (left) 

and after (right) ................................................................................................................. 17

Figure 23. Graph. Phase 1 plots comparing the original time series (left), the bandpass 

filtered time series (center), and the truncated time series (right) .................................... 17

Figure 24. Graph. Marked peaks of the decay curve .................................................................... 18

Figure 25. Graph. Closer view of the marked peaks..................................................................... 18

Figure 26. Graph. Best-fit line of the natural log of the peaks ..................................................... 18

Figure 27. Graph. Closer view of a 30 second interval of the best-fit line of the peaks............... 19

Figure 28. Graph. First mode, 90 percent confidence interval on the mean, fan A...................... 20

Figure 29. Graph. First mode, 90 percent confidence interval on the mean, fan C...................... 20

Figure 30. Graph. Second mode, 90 percent confidence interval on the mean, fan A ................. 20

Figure 31. Graph. Second mode, 90 percent confidence interval on the mean, fan C.................. 21

Figure 32. Graph. First mode frequencies from phase 1 testing................................................... 22

Figure 33. Graph. Cable damping varying when averaged over short intervals........................... 23

Figure 34. Equation. Scruton number........................................................................................... 24

Figure 35. Equation. Equivalent wind speed ................................................................................ 25

Figure 36. Graph. Damping ratio versus equivalent wind speed for cable 20C........................... 25

Figure 37. Photo. Dampers ........................................................................................................... 27

Figure 38. Photo. Damper's attachment to cable and median slab................................................ 27

Figure 39. Illustration. Arrangement of cables tested during phase 2 .......................................... 27

Figure 40. Graph. Phase 2 spectral density plot of cable 19A, run 2............................................ 28

Figure 41. Graph. Phase 2 plots of the original time series (left), the bandpass filtered 

time series (center), and the truncated time series (right)................................................. 28
vi

Figure 42. Graph. First mode, 90 percent confidence interval on the mean, fan A...................... 29

Figure 43. Graph. First mode, 90 percent confidence interval on the mean, fan B...................... 29

Figure 44. Graph. First mode, 90 percent confidence interval on the mean, fan C...................... 30

Figure 45. Graph. First mode, 90 percent confidence interval on the mean, fan D...................... 30

Figure 46. Graph. Second mode, 90 percent confidence interval on the mean, fan A ................. 30

Figure 47. Graph. Second mode, 90 percent confidence interval on the mean, fan B.................. 31

Figure 48. Graph. Second mode, 90 percent confidence interval on the mean, fan C.................. 31

Figure 49. Graph. Second mode, 90 percent confidence interval on the mean, fan D ................. 31

Figure 50. Graph. First mode frequencies from phase 2 testing................................................... 33

Figure 51. Graph. First mode frequencies .................................................................................... 37

Figure 52. Graph. Second mode frequencies................................................................................ 37

Figure 53. Graph. First mode theoretical frequencies versus phase 1 field data .......................... 38

Figure 54. Graph. First mode theoretical frequencies versus phase 2 field data .......................... 38

Figure 55. Graph. Comparison of the decay curves between phase 1 and phase 2 for 

cable 19A .......................................................................................................................... 39

Figure 56. Graph. Comparison of first mode damping ratios....................................................... 39

Figure 57. Graph. Comparison of second mode damping ratios .................................................. 40

Figure 58. Graph. Comparison of Scruton numbers..................................................................... 40

Figure 59. Graph. Comparison of first mode frequencies ............................................................ 55

Figure 60. Graph. Comparison of second mode frequencies........................................................ 55

Figure 61. Graph. Comparison of third mode frequencies ........................................................... 56

Figure 62. Graph. Comparison of fourth mode frequencies......................................................... 56

Figure 63. Graph. Comparison of fifth mode frequencies............................................................ 57

Figure 64. Graph. Comparison of sixth mode frequencies........................................................... 57

Figure 65. Graph. Comparison of seventh mode frequencies....................................................... 58

Figure 66. Graph. Phase 1, first mode 90 percent confidence interval on the mean, fan A ....... 111

Figure 67. Graph. Phase 1, first mode 90 percent confidence interval on the mean, fan C........ 111

Figure 68. Graph. Phase 1, second mode 90 percent confidence interval on the mean, 

fan A................................................................................................................................ 112

Figure 69. Graph. Phase 1, second mode 90 percent confidence interval on the mean, 

fan C................................................................................................................................ 112

Figure 70. Graph. Phase 2, first mode 90 percent confidence interval on the mean, fan A ....... 113

Figure 71. Graph. Phase 2, first mode 90 percent confidence interval on the mean, fan B........ 113

Figure 72. Graph. Phase 2, first mode 90 percent confidence interval on the mean, fan C........ 114

Figure 73. Graph. Phase 2, first mode 90 percent confidence interval on the mean, fan D ....... 114

Figure 74. Graph. Phase 2, second mode 90 percent confidence interval on the mean, 

fan A................................................................................................................................ 115

Figure 75. Graph. Phase 2, second mode 90 percent confidence interval on the mean, 

fan B................................................................................................................................ 115

Figure 76. Graph. Phase 2, second mode 90 percent confidence interval on the mean, 

fan C................................................................................................................................ 116

Figure 77. Graph. Phase 2, second mode 90 percent confidence interval on the mean, 

fan D................................................................................................................................ 116

Figure 78. Graph. Phase 1, damping ratio versus total equivalent wind speed for 

cable 20A ........................................................................................................................ 127
vii

Figure 79. Graph. Phase 1, damping ratio versus total equivalent wind speed for 

cable 19A ........................................................................................................................ 127

Figure 80. Graph. Phase 1, damping ratio versus total equivalent wind speed for 

cable 18A ........................................................................................................................ 128

Figure 81. Graph. Phase 1, damping ratio versus total equivalent wind speed for 

cable 17A ........................................................................................................................ 128

Figure 82. Graph. Phase 1, damping ratio versus total equivalent wind speed for 

cable 16A ........................................................................................................................ 128

Figure 83. Graph. Phase 1, damping ratio versus total equivalent wind speed for 

cable 15A ........................................................................................................................ 129

Figure 84. Graph. Phase 1, damping ratio versus total equivalent wind speed for 

cable 12A ........................................................................................................................ 129

Figure 85. Graph. Phase 1, damping ratio versus total equivalent wind speed for 

cable 20C ........................................................................................................................ 129

Figure 86. Graph. Phase 1, damping ratio versus total equivalent wind speed for 

cable 19C ........................................................................................................................ 130

Figure 87. Graph. Phase 1, damping ratio versus total equivalent wind speed for 

cable 18C ........................................................................................................................ 130

Figure 88. Graph. Phase 1, damping ratio versus total equivalent wind speed for 

cable 17C ........................................................................................................................ 130

Figure 89. Graph. Phase 1, damping ratio versus decay-only equivalent wind speed for 

cable 20A ........................................................................................................................ 131

Figure 90. Graph. Phase 1, damping ratio versus decay-only equivalent wind speed for 

cable 19A ........................................................................................................................ 131

Figure 91. Graph. Phase 1, damping ratio versus decay-only equivalent wind speed for 

cable 18A ........................................................................................................................ 132

Figure 92. Graph. Phase 1, damping ratio versus decay-only equivalent wind speed for 

cable 17A ........................................................................................................................ 132

Figure 93. Graph. Phase 1, damping ratio versus decay-only equivalent wind speed for 

cable 16A ........................................................................................................................ 133

Figure 94. Graph. Phase 1, damping ratio versus decay-only equivalent wind speed for 

cable 15A ........................................................................................................................ 133

Figure 95. Graph. Phase 1, damping ratio versus decay-only equivalent wind speed for 

cable 12A ........................................................................................................................ 134

Figure 96. Graph. Phase 1, damping ratio versus decay-only equivalent wind speed for 

cable 20C ........................................................................................................................ 134

Figure 97. Graph. Phase 1, damping ratio versus decay-only equivalent wind speed for 

cable 19C ........................................................................................................................ 135

Figure 98. Graph. Phase 1, damping ratio versus decay-only equivalent wind speed for 

cable 18C ........................................................................................................................ 135

Figure 99. Graph. Phase 1, damping ratio versus decay-only equivalent wind speed for 

cable 17C ........................................................................................................................ 136

Figure 100. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 16A ........................................................................................................................ 136

Figure 101. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 15A ........................................................................................................................ 137
viii

Figure 102. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 14A ........................................................................................................................ 137

Figure 103. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 13A ........................................................................................................................ 138

Figure 104. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 12A ........................................................................................................................ 138

Figure 105. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 20C ........................................................................................................................ 139

Figure 106. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 19C ........................................................................................................................ 139

Figure 107. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 18C ........................................................................................................................ 140

Figure 108. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 17C ........................................................................................................................ 140

Figure 109. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 16C ........................................................................................................................ 141

Figure 110. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 15C ........................................................................................................................ 141

Figure 111. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 14C ........................................................................................................................ 142

Figure 112. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 20B ........................................................................................................................ 142

Figure 113. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 19B ........................................................................................................................ 143

Figure 114. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 18B ........................................................................................................................ 143

Figure 115. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 17B ........................................................................................................................ 144

Figure 116. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 16B ........................................................................................................................ 144

Figure 117. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 15B ........................................................................................................................ 145

Figure 118. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 20D ........................................................................................................................ 145

Figure 119. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 19D ........................................................................................................................ 146

Figure 120. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 18D ........................................................................................................................ 146

Figure 121. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 17D ........................................................................................................................ 147

Figure 122. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 16D ........................................................................................................................ 147

Figure 123. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 15D ........................................................................................................................ 148

Figure 124. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 14D ........................................................................................................................ 148
ix

Figure 125. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 13D ........................................................................................................................ 149

Figure 126. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 16A ........................................................................................................................ 149

Figure 127. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 15A ........................................................................................................................ 150

Figure 128. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 14A ........................................................................................................................ 150

Figure 129. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 13A ........................................................................................................................ 151

Figure 130. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 12A ........................................................................................................................ 151

Figure 131. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 20C ........................................................................................................................ 152

Figure 132. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 19C ........................................................................................................................ 152

Figure 133. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 18C ........................................................................................................................ 153

Figure 134. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 17C ........................................................................................................................ 153

Figure 135. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 16C ........................................................................................................................ 154

Figure 136. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 15C ........................................................................................................................ 154

Figure 137. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 14C ........................................................................................................................ 155

Figure 138. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 20B ........................................................................................................................ 155

Figure 139. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 19B ........................................................................................................................ 156

Figure 140. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 18B ........................................................................................................................ 156

Figure 141. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 17B ........................................................................................................................ 157

Figure 142. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 16B ........................................................................................................................ 157

Figure 143. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 15B ........................................................................................................................ 158

Figure 144. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 20D ........................................................................................................................ 158

Figure 145. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 19D ........................................................................................................................ 159

Figure 146. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 18D ........................................................................................................................ 159

Figure 147. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 17D ........................................................................................................................ 160
x

Figure 148. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 16D ........................................................................................................................ 160

Figure 149. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 15D ........................................................................................................................ 161

Figure 150. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 14D ........................................................................................................................ 161

Figure 151. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 13D ........................................................................................................................ 162
xi

LIST OF TABLES

Table 1. Summary of accelerometer locations.............................................................................. 13

Table 2. Phase 1 summary of results data..................................................................................... 21

Table 3. Phase 1 Scruton number ................................................................................................. 24

Table 4. Phase 2 summary of results data..................................................................................... 32

Table 5. Phase 2 Scruton number ................................................................................................. 35

Table 6. Phase 1 mode frequencies (Hz) ...................................................................................... 43

Table 7. Phase 1 averaged mode frequencies (Hz)....................................................................... 45

Table 8. Phase 1 theoretical frequencies of the first mode (Hz)................................................... 46

Table 9. Phase 2 mode frequencies (Hz) ...................................................................................... 47

Table 10. Phase 2 averaged mode frequencies (Hz)..................................................................... 53

Table 11. Phase 2 theoretical frequencies of the first mode (Hz)................................................. 54

Table 12. Phase 1, box 1, first mode damping data ...................................................................... 59

Table 13. Phase 1, box 2, first mode damping data ...................................................................... 62

Table 14. Phase 1, box 1, second mode damping data ................................................................. 65

Table 15. Phase 1, box 2, second mode damping data ................................................................. 68

Table 16. Phase 1 summary of average damping values.............................................................. 71

Table 17. Phase 2, box 1, first mode damping data ...................................................................... 72

Table 18. Phase 2, box 2, first mode damping data ...................................................................... 80

Table 19. Phase 2, box 1, second mode damping data ................................................................. 88

Table 20. Phase 2, box 2, second mode damping data ................................................................. 96

Table 21. Phase 2 summary of average damping values for box 1............................................. 104

Table 22. Phase 2 summary of average damping values for box 2............................................. 106

Table 23. Phase 2 summary of average damping values for boxes 1 and 2 combined............... 108

Table 24. Phase 1 average wind speed and wind direction......................................................... 117

Table 25. Phase 2 average wind speed and wind direction......................................................... 119

Table 26. General properties of tested cables (SI units)............................................................. 163

Table 27. General properties of tested cables (English units) .................................................... 164
xii

LIST OF SYMBOLS

An Amplitude of in-plane displacement due to the nth mode of vibration.

c Viscous damping coefficient per unit length.

D Diameter of cable pipe.

H Pretension of string or cable.

L Length of string or cable.

L1,2 Chord length distance along cable to box 1 or 2.

m Cable mass per unit length.

Sc Non-dimensional Scruton number.

Tdn Damped natural period of the nth mode of vibration.

t Time.

U Wind speed.

Uave Average wind speed.

Ueq Normalized equivalent wind speed.

u Time-dependent part of transverse in-plane displacement due to vibration.

w Transverse in-plane displacement due to vibration.

x Distance.

Phase angle of time-dependent part of transverse in-plane displacement due to nth mode 

of vibration.

Inclination angle of the cable from horizontal.

Non-dimensional logarithmic decrement ratio.

Non-dimensional damping ratio of the nth mode of vibration.

Angle of the wind direction normal to the vertical plane of the cable.

Average angle of the wind direction normal to the vertical plane of the cable.

Mass density of air.

Natural angular frequency of the nth mode of vibration.

Damped natural angular frequency of the nth mode of vibration.

n





n



ave 

n

dn
1

CHAPTER 1. INTRODUCTION

Of particular importance is the dynamic behavior of the deck’s supporting cables for cablestayed bridges. These structurally critical components are often excited into several vibration 

modes by the ambient wind conditions. Study of the damped behavior of cables is fundamental 

to ensure a safe and structurally sound system.

Stay cable vibration up to amplitudes of 6.5 ft (2 m) under conditions of moderate wind, 

sometimes in conjunction with light rain, has been observed with increasing frequency in recent 

years.

(1)

This problem is not new and has been studied extensively over a period of several 

decades; however, gaps remain in our understanding of the problem. With a growing inventory 

of cable-stayed bridges, we have experienced a significant increase in reports of large amplitude 

cable vibrations. Some structures have been retrofitted to mitigate these vibrations. Cable-stayed 

bridges under design and/or construction are currently incorporating dampers, cross-ties, and/or 

aerodynamic surface treatments into the cable system. While retrofits have been deployed to fix 

existing problems and mitigation details have been evolving for new structural designs, few fullscale investigations have been conducted to either establish the detailed site/structure conditions 

or evaluate the effectiveness of mitigation measures. To fill the information gap, the Federal 

Highway Administration (FHWA) is performing long term monitoring of cables on existing 

cable-stayed bridges and is conducting vibration tests on cables during various stages of 

construction on new bridges.

The Penobscot Narrows Bridge is a cable-stay bridge connecting the town of Prospect and 

Verona Island in Maine, which opened to the public on December 30, 2006. During construction, 

the Maine Department of Transportation (MaineDOT) and the FHWA agreed to test the longer 

cable-stays to determine their mode frequencies and damping ratio values, both before and after 

the installation of dampers. Figure 1 below shows the bridge next to the suspension bridge it 

replaces, while the inset shows a close up view of the cable-stays threading the pylon.

Figure 1. Photo. The Penobscot Narrows Bridge.
2

Identical dampers were installed on each cable-stay, with a damping value chosen based on 

specifications determined by the Figg Engineering Group, the bridge designers. These short-term 

tests would serve to establish and benchmark cable properties such as vibration frequencies and 

inherent damping of each stay cable as well as the additional damping provided by viscous 

dampers installed on each cable. Information obtained in this study can be used not only to 

assess if design objectives have been met, but also to catalog representative cable properties and 

for comparison with future measurements to determine if performance has changed perhaps 

requiring inspection and/or repairs.
3

CHAPTER 2. THEORETICAL BACKGROUND

VIBRATION OF TAUT STRING WITH DISTRIBUTED DAMPING

The transverse vibration of a taut string with uniformly distributed viscous damping can be 

described by:

Figure 2. Equation. Equation of motion (EOM) for a string.

where w(x,t) = transverse displacement, m = mass density per unit length, c = viscous coefficient 

per unit length, and H = pretension of the string.

(2)

For a string of length L, fixed at both ends, 

w(x,t) can be approximated by a finite degrees of freedom (DOF) system:

Figure 3. Equation. General solution of EOM.

where the sinusoidal spatial functions are the normal modes for a string where c = 0. 

Substituting w(x,t) into the equation in figure 2 and rearranging yields the following:

Figure 4. Equation. EOM for a string.

for n = 1, 2, ..., N (no sum on n). The equation in figure 4 represents the equation of motion for 

the nth mode vibration of the string, and , respectively, denote the corresponding circular 

natural frequency and damping ratio of the mode. It is to be noted that the equations for this 

N-DOF system are fully decoupled and each mode can be handled separately. Using the standard 

solution technique for a single DOF system, a general solution to the equation in figure 4

follows:

Figure 5. Equation. General solution to EOM.

where An and are the amplitude and phase angle that are dependent on the initial conditions 

of the vibration, and the following:

Figure 6. Equation. Damped natural frequency.

is the damped natural frequency.

(3)

sin(nx/L)

n n

n
4

DETERMINATION OF DAMPING RATIOS

The damping ratio, or the fraction of critical damping, , can be estimated experimentally. In 

the logarithmic decrement method, the damping ratio is found by measuring the amplitude of 

two consecutive peaks of damped free vibration and computing their ratio.

(3)

It can be shown that 

the ratio between the two consecutive peaks of the vibration is given by the following 

expression:

Figure 7. Equation. Ratio of two consecutive peaks.

where is the damped natural period of the nth mode. Selecting two consecutive 

peaks ui and ui+1 and taking the natural logarithm of the equation in figure 7, one finds the 

expression for the logarithmic decrement defined by:

Figure 8. Equation. Logarithmic decrement.

For lightly damped systems ( < 0.2), the equation in figure 8 can be simplified to . 

This simplification is valid for inherent damping ratios of most stay cables, which are almost 

always below 0.01. From this simplification and the equation in figure 8, the damping ratio can 

be obtained by:

Figure 9. Equation. Damping ratio.

The equation in figure 9 is valid for both displacement and acceleration decay curves for lightly 

damped systems.

n

Tdn = 2 /dn n   2n
5

CHAPTER 3. EXPERIMENTAL PROCEDURES

THE TEST BRIDGE

The Penobscot Narrows Bridge is a 2,120 ft (646 m) long cable-stayed bridge that carries U.S. 

Route 1 over the Penobscot River connecting Verona Island to Prospect in Maine. A map of the 

bridge site and the surrounding area is provided below in figure 10. This cast-in-place concrete 

structure was an emergency replacement for the Waldo-Hancock Bridge, an aging steel 

suspension bridge built at the same site in 1931. The “owner facilitated design/build project”

spanned a mere 42 months from conception to completion; construction was started in 2004 and 

the bridge was opened to traffic on December 30, 2006.

1 mi = 1.61 km

Figure 10. Illustration. Map of the Penobscot Narrows Bridge site.

The bridge, with its east-southeast orientation, has a main span of 1,161 ft (354 m) and side 

spans of 479.5 ft (146.2 m) each, as shown in figure 11. The span cross section is a single 

trapezoidal concrete box that is 12.8 ft (3.9 m) deep with a 57.5-ft (17.5-m)-wide deck. The deck 

configuration, as shown in figure 12, consists of a roadway with one 12-ft (3.65-m) lane in each 

traffic direction flanked by a 7-ft (2.1-m) shoulder on the right and 1-ft (0.3-m) shoulder on the 

left. A raised 14.3-ft (4.4-m) median, containing the cable anchor blocks, separates the two travel 

lanes.
6

Source: MaineDOT.

Figure 11. Illustration. Bridge plan and elevation.
7

1 ft = 0.305 m, 1 inch = 2.54 cm

Source: MaineDOT.

Figure 12. Illustration. Bridge main span cross-section.

The bridge spans are supported by two 430-ft (131.1-m) tall concrete pylons, each containing 

40 stay cables. The pylons are tapered with height in the direction of traffic and are constant 

width transverse to the direction of traffic. A unique feature of the west pylon, Pier 1, is the 

public observatory, accessible by elevator, located at its top. Clad in glass, the bridge observatory 

is the only such feature in the United States and the highest public bridge observatory in the 

world. A photo of the observatory is shown in figure 13.

Figure 13. Photo. Bridge observatory.

The Penobscot Narrows Bridge has four centerline fans of stay cables between the bridge spans 

and pylons. The two fans on the outer side spans are essentially symmetrical, as are the two inner 

fans supporting the main span. A photo detailing the cable fan configuration is shown in 

figure 14. Chord lengths of the cables range from 119 to 594 ft (36.4 to 181.1 m) and inclination 
8

angles range from 22.1 to 52.8 degrees. The cables in the inner fans are roughly 13 percent 

longer than their counterparts in the outer fans. The fans are labeled A, B, C, and D running from 

the west to east end of the bridge. The cables are numbered 1–20 in each fan, with 20 being the 

longest. In this report, a cable will be referenced by its number, followed by its fan letter, e.g.,

cable 19A.

Figure 14. Photo. Bridge cable fan configuration.

The stay cables consist of 41 to 72 steel wire strands loosely encased in an ungrouted highdensity polyethylene (HDPE) pipe. The HDPE pipe has a constant diameter of 15.75 inches

(400 mm) for all cables, despite the varying number of strands for the different cable lengths, and 

includes a double helical fillet on its surface. The 0.6 inches (1.52 cm) diameter 7-wire strands 

are epoxy coated and filled. These strands are attached to anchor blocks at deck level and are 

continuous, passing through cradles, at each pylon. Each strand acts independently, allowing for 

removal, inspection, and replacement. The Penobscot Narrows Bridge is one of the first few 

bridges to incorporate the use of a cable-stay cradle system, eliminating the need for anchorages 

in the pylons and allowing for increased diameters of stays and, therefore, increased span 

lengths.(4)In June 2007, six strands in three stays were removed and replaced with carbon fiber 

strands to enable monitoring of the carbon fiber material in this special application. Each cradle 

assembly consists of a galvanized steel outer sheath with an outside diameter of 16 inches

(488 mm) and individual stainless steel sleeves with 1 inch (2.54 cm) outside diameter for each 

strand. At the upper end of each stay cable, the HDPE pipe is attached to the cradle end through 

a bolted flange.

A galvanized steel guide sleeve, or guide pipe, extends from the concrete anchor block at the 

lower end of each stay cable. A galvanized steel anti-vandalism pipe is attached to the end of the 

guide sleeve through a bolted flange to extend protection from damage in this region of the 

cable. An HDPE “connection sleeve,” with 17.72 inches (450 mm) outside diameter and no

helical fillet, is used to make the transition from the anti-vandalism pipe to the primary HDPE 

pipe, and the joint between steel and HDPE is sealed with a neoprene boot and steel bands. No 

internal neoprene bushings or internal dampers are utilized at either end of the stay cables. A 

diagram detailing the numerous transitional elements of the lower stay cables is shown in 
9

figure 15, while figure 16 contains a photo of these elements on several cables towards the west 

end of the bridge.

1 ft = 0.305 m, 1 inch = 2.54 cm

Figure 15. Illustration. Bridge stay cable assembly details.

Figure 16. Photo. Detail of lower end of bridge cables.

External viscous dampers are installed in pairs near the lower end of all stay cables. The axes of 

the dampers in each pair are separated by an angle of less than 45 degrees to provide damping for 
10

out-of-plane as well as in-plane vibrations. Each damper-to-stay connection is located 12.33 ft 

(3.76 m) vertically above the bridge deck; therefore, its position up the length of the cable is a 

function of , the cable inclination angle. For the range of inclination angles on this bridge, the 

dampers are positioned between 6.4 and 16.9 percent of the cable length from the lower 

anchorage. The dampers are attached to the HDPE connection sleeve using a galvanized steel 

bracket fabricated in two halves for ease of installation. A multi-sleeve, or cheese, block is 

installed inside the HDPE connection sleeve at the damper location to ensure that the individual 

steel strands and pipe move as a unit. The block consists of six HDPE cheese plates separated by 

five rubber cheese plates. Each damper rests atop a steel extension pipe that is solidly anchored 

to the top slab of the raised median.

SET-UP AND PROCEDURES

The cable-stays on the Penobscot Narrows Bridge were tested by staff from the FHWA 

Aerodynamics Lab in two phases, both before and after the installation of dampers. Phase 1 

testing of the cable-stays was conducted in early December 2006 during construction, and 

phase 2 testing occurred in September 2007 with traffic on the bridge.

Data from the vibration testing was obtained by attaching two accelerometer boxes to each stay 

cable, the first box being from 19 to 21 percent up the length of the cable and the second being 

from 6 to 9 percent up the length of the cable. The lower box, or enclosure, was positioned close 

to the connection point for the dampers and the upper box was placed as high as possible on the 

cable and in a position that would avoid vibration nodes for the modes of interest. Figure 17

shows the accelerometers mounted on top of a stay cable, with the second one sitting further up 

the cable in the distance.

Figure 17. Photo. Accelerometers mounted on stay cable.

Multiple boxes ensured that useable data would be collected even in case of a malfunctioning 

sensor or if a sensor was inadvertently stationed at a frequency node. The accelerometers 

measured data from all three axes, although only data from the in-plane direction were required 

for analysis. The in-plane direction corresponds to the vertical plane of cables, which was 

measured as the z-direction on the accelerometer. Data from the accelerometers were recorded 


11

using a portable data acquisition system that was also connected to a vane-type anemometer to

measure the wind direction and speed present during the test. In general, the anemometer was 

placed in the vicinity of the cables being tested and thus was moved about the bridge. The data 

acquisition system was connected to the bridge for power and is shown in figure 18. The scan

frequency used for both the accelerometers and the anemometer was 100 Hz.

Figure 18. Photo. Data acquisition system.

The cables were manually excited in the vertical plane with a “pull” rope, while a spotter 

checked to make sure the proper amplitudes and modes were achieved. Positioned with a good 

view along the longitudinal axis of the cable under test, the spotter would signal the “pullers” to 

synchronize the pulling action with the cable motions. This approach enabled efficient excitation, 

vibrations primarily in the first vertical mode, and peak amplitudes of one cable diameter or 

more. When the cable reached a sufficient excitation, the rope was released, allowing the cable to 

freely oscillate and the vibrations to decay. The data acquisition system would be triggered to 

start recording before the excitation was started then continued recording until the decay 

subsided and only random traffic or wind-induced vibrations remained.

In addition to the data recorded from the sensors, general test notes were taken regarding sensor 

locations, weather conditions, quality of the vibration modes achieved, traffic problems, 

interference from construction activities, and any difficulties encountered while exciting the 

cable. Figure 19 shows a diagram of a stay cable illustrating the distance each accelerometer was 

placed from the anchor block, while table 1 contains a summary of the distances used during 

testing.
12

Figure 19. Illustration. Location of accelerometers during testing.
13

Table 1. Summary of accelerometer locations.

Phase 1 Phase 2

Cable L1 L2 L1 L2

(ft) (m) (ft) (m) (ft) (m) (ft) (m)

20A 108.34 33.02 32.80 10.00 108.34 33.02 33.93 10.34

19A 104.64 31.89 31.89 9.72 104.64 31.89 33.01 10.06

18A 99.29 30.26 32.40 9.88 99.29 30.26 33.53 10.22

17A 95.59 29.14 31.41 9.57 95.59 29.14 32.54 9.92

16A 90.23 27.50 31.88 9.72 90.23 27.50 33.00 10.06

15A 86.54 26.38 30.71 9.36 86.54 26.38 31.83 9.70

14A 81.17 24.74 31.17 9.50 81.17 24.74 32.30 9.84

13A 77.50 23.62 29.91 9.12 77.50 23.62 31.03 9.46

12A 72.12 21.98 30.34 9.25 72.12 21.98 31.47 9.59

20B — — — — 112.91 34.41 39.58 12.07

19B — — — — 108.70 33.13 38.17 11.63

18B — — — — 103.31 31.49 38.73 11.80

17B — — — — 99.12 30.21 37.25 11.35

16B — — — — 93.88 28.62 37.52 11.44

15B — — — — 89.73 27.35 35.97 10.96

20C 112.91 34.41 38.46 11.72 112.91 34.41 39.58 12.07

19C 108.70 33.13 37.04 11.29 108.70 33.13 38.17 11.63

18C 103.31 31.49 37.60 11.46 103.31 31.49 38.73 11.80

17C 99.12 30.21 36.13 11.01 99.12 30.21 37.25 11.35

16C — — — — 93.88 28.62 37.52 11.44

15C — — — — 89.73 27.35 35.97 10.96

14C — — — — 84.17 25.66 36.74 11.20

20D — — — — 108.39 33.04 34.14 10.41

19D — — — — 104.65 31.90 33.12 10.10

18D — — — — 99.31 30.27 33.61 10.24

17D — — — — 95.59 29.14 32.53 9.91

16D — — — — 90.23 27.50 33.00 10.06

15D — — — — 86.54 26.38 31.83 9.70

14D — — — — 81.17 24.74 32.30 9.84

13D — — — — 77.50 23.62 31.03 9.46

15

CHAPTER 4. PHASE 1 INVESTIGATION

TESTING

Phase 1 testing of the cable-stays on the Penobscot Narrows Bridge occurred in early December 

2006. In order to achieve the largest representation of cables in only a week’s allotment of test 

time, it was decided to test as many cables as possible in fan A, before switching over to inner 

cables located in fan C. Testing for each fan started with number 20, the longest cable, and 

proceeded to the shorter cables. Cables 20A through12A were tested in the first 3 days, while 

cables 20C through 17C were tested the following day before severe winter weather prevented 

any testing on the final day. Figure 20 shows the arrangement of the cables tested.

Figure 20. Illustration. Arrangement of cables tested during phase 1.

ANALYSIS

Frequency Content

To determine the fundamental mode frequencies for each cable, an estimated power spectral 

density (PSD) analysis was performed on the time-history series for each individual run. The 

density was calculated in Matlab®using Welch’s averaged modified periodogram method, which 

produces a one-sided density of frequency versus power per frequency with an acquisition 

frequency of 100 Hz. The Welch function divides the input into eight segments with 50 percent

overlap with each segment subjected to a Hamming window function. The average of the 

periodograms determines the PSD estimate. For these cable vibrations, the frequencies of interest 

are extremely low, in the single-digit Hz range. Appropriately, the density was graphed from 0 to 

10 Hz, which contained the first 8 to10 fundamental frequencies. Figure 21 shows a sample plot 

of the Welch spectral density plot.
16

Figure 21. Graph. Phase 1 spectral density plot of cable 19A, run 3.

A cursor was placed on the plot and dragged along the points in order to determine the local 

maxima that correspond to the natural frequencies. The frequencies were found with an accuracy 

of three decimal places for the first mode, and two decimal places for the higher modes. The 

quality of the spectral density plots varied among the different runs. Some produced clear plots 

where each natural frequency could easily be recorded up to the ninth or tenth mode. Other plots 

were harder to interpret. Sometimes the higher frequencies would lack distinct peaks, and other 

times the energy would fall under a wider curve with multiple peaks. In these cases, some 

judgment was applied to determine which peaks were acceptable.

A table was compiled of the fundamental frequencies up to the seventh mode, if possible, for 

each time-series. This was done for both accelerometer boxes. Usually the frequencies would be 

equivalent between the two boxes and across the separate runs for each individual cable, but 

occasionally they would vary by a small percent. The table of frequency values can be found in 

appendix A. Once again, sometimes a judgment call was necessary when determining the 

average natural frequencies for a cable if it varied throughout the runs. If there were only a few 

outliers, the statistical mode was considered the average, but if there was greater variance among 

the runs, then the actual mean was calculated.

Damping Analysis

Once the fundamental frequencies were obtained for the first two modes, the damping ratios 

could then be calculated from the decay of the cable vibrations. Since the time-history for each 

run is the complex combination of numerous modes of vibration, a bandpass filter was used to 

isolate the decay associated with each mode. The pass band frequencies were determined from 

the spectral density plot, choosing frequencies that closely encompassed the entire energy peak 

for the desired mode. A fourth-order elliptic filter was utilized on the signal twice to completely

suppress the unwanted noise outside the band while effectively preserving the signal within the 

cutoff frequencies. An example of the elliptic filter’s effect on the spectral density plot of a data 

series is shown in figure 22.
17

Figure 22. Graph. The effect of the bandpass filter on the spectral density, 

before (left) and after (right).

Once the bandpass filter had been applied, the time series resembled a more consistent 

logarithmic decay. A time filter was also established to eliminate the data associated with the 

manual excitation at the beginning of the run and the random excitations prevalent after the 

decay had subsided. Figure 23 shows a comparison of the time series before and after the 

bandpass and time filters are applied.

Figure 23. Graph. Phase 1 plots comparing the original time series (left), the bandpass 

filtered time series (center), and the truncated time series (right).

After the logarithmic decay curve has been revealed, the damping ratio can then be extracted 

using the equation from figure 9. Software created in Matlab® marked both the positive and 

negative peaks along the sinusoidal curve and then proceeded to take the natural log of the peaks. 

Since damping is found from the ratio between two distinct, consecutive peaks, and that ratio 

varies throughout the run as the peaks vary, a regression line was fitted to the data to minimize 

random errors. An average damping ratio was then calculated from this best-fit line. A close-up 

of the software capturing the peaks from phase 1 testing of cable 19A, run 6 and the resulting 

regression lines are shown in figure 24 to figure 27.
18

Figure 24. Graph. Marked peaks of the decay curve.

Figure 25. Graph. Closer view of the marked peaks.

Figure 26. Graph. Best-fit line of the natural log of the peaks.
19

Figure 27. Graph. Closer view of a 30 second interval of the best-fit line of the peaks.

To determine the effectiveness of the best-fit line, the correlation was noted between the 

regression line and the actual peak data points. In general, the correlation throughout the runs 

was extremely high, usually averaging over 0.990 for the first mode. In most cables, the average 

correlation was even higher, averaging between 0.994 and 0.997, although one cable’s data set 

only averaged 0.953. While that number still appears impressive, it was extremely difficult to 

accurately fit a line with that much variability in the decay.

The correlation was also important because it helped determine the length of the sample. The 

length of the decay was chosen to extend for as long as possible before random vibrations 

affected the signal. The best-fit line and correlation numbers helped determine when the damping 

ended and the logarithmic decay assumption was no longer valid. The length of the decay curve 

for the first frequency mode was longer than the second, usually averaging 50 s for the shorter 

cables to 260 s for the longer cables in the first mode, and 30 s to 130 s, respectively, in the 

second mode.

After the best-fit line was established, the damping ratio could be pulled for each cable. The 

number of runs performed for each cable varied between 4 and 11 with one additional run per 

cable used as a baseline with no manual excitation. Due to the small number of available sample 

data sets for each cable, and the fact that the population mean and variance are both unknown, 

the Student-t test was used to find a 90 percent confidence interval on the mean.

(5)

This statistical 

process was performed for every cable for both the first and second modes, and a graph of the 

results is shown in figure 28 to figure 31. Table 2 contains a summary of the damping ratio, 

correlation, and frequencies for each cable.
20

Figure 28. Graph. First mode, 90 percent confidence interval on the mean, fan A.

Figure 29. Graph. First mode, 90 percent confidence interval on the mean, fan C.

Figure 30. Graph. Second mode, 90 percent confidence interval on the mean, fan A.
21

Figure 31. Graph. Second mode, 90 percent confidence interval on the mean, fan C.

Table 2. Phase 1 summary of results data.

Cable 

Number

First Mode Second Mode

Average 

Damping 

Ratio

(percent) Correlation

Average 

Length of 

Time 

Sample (s)

Average 

Damping 

Ratio

(percent) Correlation

Average 

Length of 

Time 

Sample (s)

20A 0.242 0.9949 160.7 0.172 0.9919 101.4

19A 0.205 0.9933 160.0 0.206 0.9852 95.0

18A 0.292 0.9967 144.5 0.269 0.9949 92.8

17A 0.118 0.9535 140.0 0.179 0.9905 102.7

16A 0.235 0.9954 141.8 0.313 0.9902 64.3

15A 0.188 0.9968 197.9 0.323 0.9925 72.5

14A 0.252 0.9964 155.4 0.384 0.9973 54.2

13A 0.389 0.9976 52.9 0.455 0.9929 29.2

12A 0.378 0.9871 57.5 0.447 0.9872 26.9

20C 0.151 0.9968 213.8 0.262 0.9949 57.7

19C 0.135 0.9965 256.5 0.190 0.9940 116.0

18C 0.104 0.9949 223.0 0.356 0.9989 62.0

17C 0.137 0.9989 180.0 0.231 0.9952 135.0

DISCUSSION

Frequency Content

The frequency trends obtained from the power spectral densities generally matched what would 

be expected. The fundamental frequencies from the cables located in fan A increased as the 

length of the cable decreased. The four cables tested in fan C have lower fundamental 

frequencies than the longest cable in fan A, which is reasonable since all four of those cables are 

longer than their numerical counterpart in fan A. The cables located in the inside fans support a 

longer portion of the bridge deck than those located in the outside fans. Cables 20C to 17C range 

from 594 ft (181.1 m) to 522 ft (159.0 m), while cables 20A to 12A range from 516 ft (157.3 m)

to 343 ft (104.7 m). First mode frequencies obtained from testing are presented in figure 32.
22

Figure 32. Graph. First mode frequencies from phase 1 testing.

Frequencies measured between the two accelerometers were usually in agreement, although they 

would occasionally vary by up to 6 percent. Similarly, the frequency measurements among the 

various runs for each cable were mainly consistent, with the maximum difference for any mode 

frequency for a cable in the range of 2 to 7 percent. Although the baseline runs did not have the 

energy necessary to produce a thorough power density spectrum, the ambient vibrations provided 

enough energy to mark the frequencies of at least the first two modes. These frequencies were 

always in line with those captured from the manual excitation runs.

The data from most cables produced clear power spectrum densities, allowing the recording of 

the first seven harmonic frequencies in at least one of the experimental runs, although cable 12A 

was one exception during the testing. Due to high winds in the 15 to 20 mi/h (24 to 32 km/h) 

range and its relatively short length, this cable was difficult to manually excite and the result was 

an extremely weak spectral density. The frequencies of the first two modes were visible, but the 

rest of the density produced no legible peaks. Fortunately, this cable was the only one that 

experienced this issue.

Damping Ratios

The damping ratios calculated for the cable-stays experienced both a wide range of values and 

consistency. A handful of cables had very narrow confidence interval bands indicating extremely 

consistent decay in their time series. Other cables did not contain equally uniform data, so their 

confidence bands stretched up to seven times wider. Additionally, the confidence intervals for 

the second mode were generally wider as their correlation tended to be worse compared to the 

first mode.

It is difficult to determine if the average damping values fall into any set pattern as the cable 

length decreased. It appears that there could be a weak linear trend connecting the damping ratio 

to the cable length, which is slightly more apparent for the second mode vibrations than the first. 

A slight negative trend indicates that the damping ratio is increasing as the cable length 

decreases. There are several possible factors that are hampering the ideal conditions necessary 
23

for a stronger trend to develop, including different cable diameters and masses, physical 

interactions between the steel strands and HDPE piping shell, and possible effects of the wind 

and aerodynamic damping. These factors introduce many complicated variables that could 

prevent theoretical values from being developed.

These complex factors may also be introducing some non-linearity to the cable vibrations. There 

were several measured instances where the damping ratio appeared to vary over the time of the 

decay, usually decreasing with time and often in a partial sinusoidal curve. In addition to the 

methodology described in the previous chapter to obtain the average damping ratio, alternative 

methods were tested in an attempt to discover an optimum way to calculate damping. The 

methods involved looking at the decay signal in smaller increments, averaging out the damping 

ratio in blocks of 10, 20, and 30 s, all the way up to half the signal length. For some of the tests, 

the increments overlapped, creating essentially a smoothing filter for the average damping across 

the data series. 

When the damping ratio was averaged over these smaller intervals it became quite apparent that 

the ratio was not remaining steady over time. Figure 33 is an example of how the damping ratio 

for cable 19A, averaged in 20 and 80 s blocks, varies over time. The general trend is from higher 

damping to lower damping, which was true for all cables that were tested using these alternate 

methods. It seems that when the cable is vibrating at large amplitudes, the energy is dissipated at 

an unexpectedly higher rate. This could be due to the non-linear physical interactions between 

the steel strands and the HDPE outer piping shell.

Figure 33. Graph. Cable damping varying when averaged over short intervals.

Despite the apparent existence of some non-linear trends, the damping ratio can still be estimated 

as an average throughout the entire decay, if properties are chosen consistently throughout the 

analysis. The best-fit lines from which the damping averages were originally obtained still had 

extremely high correlation to the actual values from the peaks of the decay curve. With the 

inclusion of the 90 percent confidence intervals derived from the Student-t test performed on the 

data, accurate comparisons can be made to vibration data obtained after the installation of 

dampers and other cable vibration mitigation techniques to rate their effectiveness.
24

Scruton Number Analysis

Another widely used mass-damping parameter indicating the level of cable damping with respect 

to vibration mitigation is the Scruton number, defined by:

Figure 34. Equation. Scruton number.

where = first-mode damping ratio, m = mass density per unit length of cable, = mass density 

of air, and D = diameter of the cable pipe.

(6)

The Scruton number is frequently used in 

developing a criterion for controlling rain/wind-induced vibration of stay cables. For instance, 

based on Irwin’s suggestion, the Post-Tensioning Institute committee on cable stayed bridges has 

suggested that rain/wind vibrations of stay cables can be avoided if the Scruton number is kept at 

a value of ten or higher.

(7,8) Additionally, a reduced Scruton number of five has been suggested if 

the cable has an aerodynamic surface treatment.

(9)

Plugging the measured damping values presented above in table 2 and the corresponding cable 

properties (found in appendix G) into the equation in figure 34 returns the following Scruton 

numbers, as shown in table 3. The Scruton numbers range from 0.6 to 2.1, far below the desired 

value of ten, indicating that the cable system under consideration was potentially vulnerable to 

rain/wind-induced (and perhaps wind-induced) vibrations. This would still be the case if a 

reduced Scruton number was used to account for the aerodynamic surface treatment. Based on 

these results, it is confirmed that an appropriate vibration mitigation measure, such as external 

viscous dampers, had to be incorporated into the cable system.

Table 3. Phase 1 Scruton number.

Cable 

Number

Scruton 

Number

20A 1.3

19A 1.1

18A 1.6

17A 0.6

16A 1.3

15A 1.0

14A 1.4

13A 2.1

12A 2.0

20C 0.8

19C 0.8

18C 0.6

17C 0.7

 
25

Aerodynamic Damping

An investigation was also initiated into the effects of aerodynamic damping on the cable 

vibrations. If it is assumed that the average damping measured from the regression line is 

essentially a total damping, comprised of both aerodynamic and structural damping, then the 

aerodynamic damping can be subtracted out, leaving only the structural damping of the cablestay. Wind speed and direction data were recorded along with the accelerometer data and were 

entered into Macdonald’s formula for finding the equivalent wind speed normal to the cable axis 

for in-plane vibrations.

(10)

Figure 35. Equation. Equivalent wind speed.

In this formula, is the reference wind direction normal to the vertical plane of the cable, is 

the angle the cable is inclined from the horizontal, and U is the wind speed regardless of 

direction. For ease of calculation, both and U are averaged across the duration of the decay 

history. The equivalent wind speed is essentially a normalized value that can be directly 

compared between the various runs, despite the actual direction the wind is facing. Therefore, a 

plot can be constructed of average damping values versus equivalent wind speed. When the 

equivalent wind speed is zero, there is no aerodynamic damping acting on the cable, so a 

regression line through the data set can be traced to zero to determine the structural damping. 

Figure 36 is an example of this concept taken from cable 20C.

1 mi/h = 1.61 km/h

Figure 36. Graph. Damping ratio versus equivalent wind speed for cable 20C.

Plots were created for each cable, but it became readily apparent that there were several limiting 

factors to this approach. The biggest issue was sample size. Most cables did not have enough 

runs to create a regression line capable of being statistically significant. This was especially true 

for the cables exposed to the largest winds, which happened towards the end of the testing. 

Another issue was that winds were relatively calm during the first three days of testing, with 

average wind speeds remaining below 2 mi/h (3.2 km/h). To create an accurate plot of the 

 


26

aerodynamic damping, there needs to be a wider range of wind speeds during the tests. Despite 

these issues, the plots showed some potential for the possibility of calculating the aerodynamic 

damping, and being able to separate it from the structural damping of the cable-stay. Future tests 

require a larger sample size for significance purposes and if possible, a much wider range of 

wind speeds and directions.
27

CHAPTER 5. PHASE 2 INVESTIGATION

TESTING

Phase 2 testing of the cable-stays on the Penobscot Narrows Bridge was conducted in September 

2007, post-damper installation, and lasted one week. Due to favorable weather conditions and 

shorter decay periods provided by the new dampers (shown in figure 37 and figure 38), it was 

possible to perform more than double the number of test runs completed during phase 1. During 

phase 2, the following cables from the four fans were tested: 20A through 12A, 20C through

14C, 20B through 15B, and 20D through 13D (shown in figure 39). The number of test runs 

performed for each cable varied between seven to ten runs, with the majority of cables 

undergoing eight or nine runs.

Figure 37. Photo. Dampers.

Figure 38. Photo. Damper's attachment to cable and median slab.

Figure 39. Illustration. Arrangement of cables tested during phase 2.
28

ANALYSIS

Frequency Content

As in phase 1, spectral density analyses were used to determine the fundamental mode 

frequencies for each cable tested during phase 2. Once again, the spectral densities were 

calculated in Matlab®using Welch’s averaged modified periodogram method and plotted on a 

scale from 0 to 10 Hz. The mode frequencies were determined by tracing the peaks of the density 

plot. The data from phase 2 produced clear spectrums allowing frequencies up to the seventh 

mode to be recorded for each time-series. An example of the spectral density plot is show below 

in figure 40 for cable 19A. The full table of frequency values for the testing done in phase 2 can 

be found in appendix A.

Figure 40. Graph. Phase 2 spectral density plot of cable 19A, run 2.

Damping Analysis

The damping analysis for phase 2 testing utilized the same initial procedures outlined above for 

phase 1. Differences between the two phases of testing became apparent after bandpass filters 

were applied to the phase 2 data sets. The effect of the newly installed dampers was obvious as 

the logarithmic decay of the damping curves occurred much faster. Figure 41 shows the effects 

of the bandpass and time filters on the signal.

Figure 41. Graph. Phase 2 plots of the original time series (left), the bandpass filtered time 

series (center), and the truncated time series (right).
29

Once again, best-fit lines of the positive and negative peaks were used to determine the 

appropriate length of the decay curve. The correlation between the best-fit line and the peaks was 

kept above .990 by adjusting the length of the sample of the decay curve used. The length of the 

decay curves ranged between 12 and 50 s for testing done on the first mode, and between 6 and 

25 s for testing done on the second mode. Similar to phase 1, shorter cables had shorter decay 

periods, but unlike phase 1, data obtained between the two boxes were not identical. In general, 

cable data obtained from box 2 had shorter decay periods than data obtained from the same run 

from box 1. This was due to box 2’s placement on the cable and the corresponding close

proximity to the damper attachment.

After best-fit lines were established for each cable run, the damping ratios could again be 

calculated and then averaged for each individual cable. During phase 2 testing, each cable had a 

minimum of 7 runs, with the majority getting 8 to 10 runs. Again, the Student-t test was utilized 

to find a 90 percent confidence on the mean of the damping ratio for each cable for both the first 

and second modes. Graphs of the results are shown in figure 42 to figure 49, while table 4

contains a summary of the damping ratio, correlation, and frequencies for each cable. The figures 

and table show the averaged data from the two boxes.

Figure 42. Graph. First mode, 90 percent confidence interval on the mean, fan A.

Figure 43. Graph. First mode, 90 percent confidence interval on the mean, fan B.
30

Figure 44. Graph. First mode, 90 percent confidence interval on the mean, fan C.

Figure 45. Graph. First mode, 90 percent confidence interval on the mean, fan D.

Figure 46. Graph. Second mode, 90 percent confidence interval on the mean, fan A.
31

Figure 47. Graph. Second mode, 90 percent confidence interval on the mean, fan B.

Figure 48. Graph. Second mode, 90 percent confidence interval on the mean, fan C.

Figure 49. Graph. Second mode, 90 percent confidence interval on the mean, fan D.
32

Table 4. Phase 2 summary of results data.

Cable 

Number

First Mode Second Mode

Average 

Damping 

Ratio

(percent) Correlation

Average 

Length of 

Time 

Sample (s)

Average 

Damping 

Ratio

(percent) Correlation

Average 

Length of 

Time 

Sample (s)

20A 1.51 0.9969 22.7 1.5 0.9942 16.8

19A 1.45 0.9976 25.1 1.72 0.9968 19.4

18A 2.14 0.9941 21.2 1.68 0.9975 16.2

17A 1.63 0.9964 25.3 1.84 0.9951 14.6

16A 1.81 0.9973 24.2 1.64 0.9914 16.6

15A 1.95 0.9974 20.0 2.25 0.9965 14.4

14A 2.00 0.9983 20.0 1.95 0.9961 12.7

13A 2.00 0.9967 16.5 2.34 0.9969 7.0

12A 2.14 0.9972 15.9 2.43 0.9921 7.1

20C 1.41 0.9975 23.1 1.71 0.9976 16.7

19C 1.44 0.9957 36.1 1.66 0.9935 16.2

18C 1.73 0.9962 28.7 1.71 0.9948 20.1

17C 1.74 0.9970 27.0 2.10 0.9963 15.6

16C 2.10 0.9959 22.4 2.25 0.9947 15.2

15C 1.87 0.9964 23.4 2.27 0.9967 14.1

14C 2.03 0.9970 26.4 1.95 0.9952 15.9

20B 1.37 0.9968 30.1 1.62 0.9956 23.8

19B 1.22 0.9984 31.8 1.41 0.9978 24.8

18B 1.72 0.9970 24.1 2.31 0.9972 16.1

17B 1.51 0.9976 24.8 1.71 0.9964 20.7

16B 1.71 0.9976 25.3 2.04 0.9983 16.7

15B 1.80 0.9973 20.2 2.04 0.9943 16.9

20D 1.30 0.9984 26.1 1.72 0.9989 19.3

19D 1.28 0.9986 40.3 1.58 0.9969 20.3

18D 1.54 0.9978 20.8 1.71 0.9976 20.3

17D 1.70 0.9982 20.4 2.03 0.9966 13.8

16D 1.70 0.9975 28.3 2.02 0.9981 11.8

15D 1.73 0.9988 26.2 2.03 0.9953 12.4

14D 2.03 0.9981 21.8 2.12 0.9940 11.1

13D 2.21 0.9986 18.1 2.48 0.9922 9.3

DISCUSSION

Frequency Content

Phase 2 testing also produced consistent results for frequency analysis. The main differences

between the two phases were that over twice the number of cables was tested during the second 

phase and, more importantly, cables from all fans were tested. While in phase 1, cables were 

tested in only one outer and one inner fan (fans A and C, respectively), phase 2 tested both sets 
33

of outer and inner fans so they could be appropriately compared. Once data from all of the runs 

were averaged for each cable, the resulting average frequencies were entered into graphs so they 

could be compared across all cables for each mode. Figure 50 below shows the graph for the first 

mode comparing the frequencies obtained across each fan of cables during phase 2 testing. Take 

note that fans A and D are the cables outside the pylons, while fans B and C are the longer cables 

supporting the main bridge deck. The remaining graphs for modes 2 through 7 can be found in 

appendix B.

Figure 50. Graph. First mode frequencies from phase 2 testing.

Similar to the first phase of testing, the data obtained from phase 2 produced clear power 

spectrum densities, allowing the capture of mode frequencies up to the seventh harmonic. The 

spectral density graphs were slightly clearer in the higher frequencies, allowing a value for each 

mode to be extracted for over 97 percent of the cable runs performed.

Damping Ratios

The installation of dampers on the cable-stays had a noticeable impact on the damping ratio 

values, causing the damping ratios to increase by at least a factor of 5, and sometimes as high as 

15. In general, first mode damping ratios for phase 1 testing were between 0.10 to 0.39 percent, 

where in phase 2 they ranged between 1.22 to 2.21 percent.

The damping ratios obtained during phase 2 testing were generally more consistent than their 

phase 1 counterparts, but still had some discrepancies that need to be addressed.

Since two accelerometers are used during testing to provide redundancy in the data, mainly to 

address the possibility of one being mounted in the proximity of a node at higher frequency, it 

was found that the two boxes rarely produced identical damping ratio data. For the majority of 

cases, the damping ratio obtained from box 2 was higher, for some cables up to 30 percent

higher. For first mode data, 28 of 30 cables had higher damping ratios from box 2 data, while for 

the second mode data this ratio fell to 21 of 30 cables. Since the accelerometer in box 2 was 

mounted on the cable closer to the anchorage and the damper, it experienced higher levels of 

damping than the accelerometer located closer to the cable’s mid-span.
34

There is a greater correlation in phase 2 data between cable length and damping ratio. As the 

cable length decreases, the damping ratio almost always increases. There are a few exceptions 

visible within the plots for each fan of cables, but there is definitely a stronger correlation than in 

similar plots from phase 1. Conversely, there is no correlation between cable length and the size 

of the confidence interval. The Student-t test gives a range of values from which between there is 

a 90 percent confidence that the mean of the damping ratio is located. For phase 2 testing, this 

range varied from 0.05 to 0.40 for the damping ratio, comparable to 2.5 to 16 percent of the 

mean value, and it varied in no pattern related to cable length or size. These correlations and lack 

thereof held true for both the first and second modes.

Another obvious result of the addition of dampers was that the length of the decay period was

shortened significantly. For first mode decay, the period lasted on average 28.5 s for box 1 and 

20.6 s for box 2, where the period was measured as the longest amount of time a best-fit line 

could overlay the data points with a correlation greater than 0.9900. Some periods were 

measured as high as 50.2 s. For second mode decay, the periods were much shorter, averaging 

16.3 s for box 1 and 15.4 s for box 2.

In order to help determine the period length that would correspond to damping ratio with the 

highest correlation, multiple values for cable 20A were tested and plotted against each other to 

see if there were any advantages to any specific method. First, frequencies were chosen for the 

low and high bandpass values, which remained constant for each set of tests. Next, the peaks 

were analyzed using overlapping and increasing period lengths. The lengths would start at 15 s 

and be staggered by 5 s intervals across the duration of the decay. Then the period length would 

increase to 20 s and the method repeated until the period length roughly matched the entire 

decay, which usually happened between 35 and 45 s. The results of these tests are varied. The 

damping ratios obtained using the shorter periods had great variance proving that the decay curve 

is not linear and where the ratio is calculated will affect the final damping value obtained. 

Sometimes the damping ratio would start out low and get higher as the interval was delayed, 

other times the opposite happened, and yet other times the damping ratio would increase then 

decrease. Using shorter interval periods did not ensure higher correlation either, as sometimes 

the correlation would actually be lower than one calculated over a longer period.

This analysis was instrumental in deciding that a decay period would be chosen by the longest 

possible sample time span without dropping below a desired correlation threshold usually set 

around 0.995 or higher.

Scruton Number Analysis

Damping values obtained during phase 2 testing were entered into the equation in figure 34 in 

order to calculate the resulting Scruton number. The results varied between 7 and 12, which is 

significantly above the target value of 5 for cables with aerodynamic surface treatments. 

Table 5 shows the full range of Scruton numbers for the cable-stays tested.
35

Table 5. Phase 2 Scruton number.

Cable 

Number

Scruton 

Number

20A 8.4

19A 8.0

18A 11.9

17A 8.9

16A 9.9

15A 10.3

14A 10.8

13A 10.6

12A 11.4

20C 7.8

19C 8.0

18C 9.6

17C 9.4

16C 11.5

15C 9.9

14C 11.0

20B 7.6

19B 6.7

18B 9.5

17B 8.2

16B 9.4

15B 9.5

20D 7.2

19D 7.1

18D 8.6

17D 9.2

16D 9.3

15D 9.2

14D 11.0

13D 11.7

Aerodynamic Damping

After inconclusive results regarding the effects of aerodynamic damping for phase 1 data, the 

effect was again studied, this time for the data obtained during phase 2 testing. Wind speed and 

direction data were plugged into the equation in figure 35, Macdonald’s formula for finding an

equivalent wind speed, and the results were tabulated and then plotted. Since phase 2 contained 

both a higher average number of tests completed for each cable and more cables tested in total, 

the hope was to find better evidence of the aerodynamic damping effect.

The results from the formula were plotted against the average damping values, where a 

regression line could connect the data points and the corresponding crossing on the y-axis would 
36

be the remaining structural damping. However, once again, virtually every plot showed little 

correlation between equivalent wind speed and damping, and no best-fit lines could be accurately 

determined. Despite the higher number of data points, the data did not trend in any consistent 

direction. Almost 90 percent of R2-values of the regression lines for each cable were below 0.3, 

indicating very poor correlation. Further studies using the formula should be conducted focusing 

on fewer cables and a much broader variation of wind speeds and directions.
37

CHAPTER 6. SUMMARY OF COMPARISONS

FREQUENCY

The frequencies obtained from phase 1 and phase 2 testing for the cables in fans A and C were 

nearly equivalent, confirming that damper installation did not affect frequency. Phase 2 testing 

also showed that frequencies compared well between similar cables from the symmetrically

matching fans. The graphs comparing the first two modes between the two phases are shown in 

figure 51 and figure 52. The remaining graphs for modes 3 through 7 can be found in

appendix B. On average, the frequencies match within 3 percent, although the frequencies on 

some of the shorter cables in the higher modes differed as much as 8 percent.

Figure 51. Graph. First mode frequencies.

Figure 52. Graph. Second mode frequencies.

First mode theoretical frequencies were calculated for each cable using the string theory equation 

whose solution is shown in figure 4. These frequencies were then plotted against the field data

and the results are shown in figure 53 and figure 54, from phase 1 and phase 2 testing,
38

respectively. Results compared favorably between field and theory, however the longest cables 

found in fans B and C varied by a small percentage. Complete tables of the numerical values of 

the first mode theoretical frequencies are presented in appendix A.

Figure 53. Graph. First mode theoretical frequencies versus phase 1 field data.

Figure 54. Graph. First mode theoretical frequencies versus phase 2 field data.
39

DAMPING

Differences in damping between phase 1 and phase 2 data were readily apparent. Cable 

vibrations comparatively lasted only a fraction of the time after damper installation, which was 

clearly evident in the damping curves. Figure 55 shows a comparison of the decay curves before

and after damper installation.

Figure 55. Graph. Comparison of the decay curves between phase 1 and phase 2 for 

cable 19A.

The installation of dampers on the cable-stays had a tremendous impact on the damping ratio 

values, causing the damping ratios to increase by at least a factor of 5, and sometimes as high as 

15. In general, first mode damping ratios for phase 1 testing were between 0.10 and 0.39 percent, 

where in phase 2 they ranged from 1.22 to 2.21 percent. Second mode damping ratios increased 

from 0.17 to 0.46 percent in phase 1 to 1.41 to 2.48 percent in phase 2. Figure 56 and figure 57

show the comparison of the damping ratios obtained from the cables tested in fan A between the 

two phases.

Figure 56. Graph. Comparison of first mode damping ratios.
40

Figure 57. Graph. Comparison of second mode damping ratios.

SCRUTON NUMBER

Before the installation of dampers, Scruton numbers for the cable stays were much lower than

the recommended minimum value of 10 for controlling rain/wind-induced vibrations, even 

falling below the reduced value of 5 allowed for cables with an aerodynamic surface treatment. 

Phase 1 testing produced Scruton numbers ranging between 0.6 and 2.0. In phase 2 testing, the 

Scruton numbers climbed to acceptable levels, ranging between 7 and 12. A comparison of the 

values for the two phases of testing in fan A is shown in figure 58.

Figure 58. Graph. Comparison of Scruton numbers.
41

CHAPTER 7. CONCLUSIONS

Vibration testing was performed on the cable-stays of the Penobscot Narrows Bridge, located 

between Verona Island and Prospect, ME, by manually exciting the cable-stays and measuring 

the decay with accelerometers and a portable data acquisition system. The vibration data 

underwent post-processing using various filters. Natural frequencies and damping ratios were 

extracted for the tested cable-stays. Confidence intervals on the mean were found for the cables 

in both the first and second modes.

For phase 1 testing, measured first mode frequencies for the fan A cables tested varied from 0.79

to 1.17 Hz, while those for the longer fan C cables varied from 0.71 to 0.81 Hz. Following 

installation of the external dampers (phase 2), frequencies were similar indicating that the 

dampers had little effect on frequency. Results for similar fans A and D as well as those for 

fans B and C compared well indicating that cables with similar unit mass, tension, and details in 

different locations have the same dynamic behavior. Measured frequencies compared well with 

theoretical values based upon the string formula and bridge information provided by the 

designers.

For phase 1 testing, damping ratios for all cables tested varied from 0.10 to 0.39 percent for the 

first mode and from 0.17 to 0.46 percent for the second mode. As expected, these ranges 

increased for phase 2 testing after the installation of dampers, from 1.22 to 2.21 percent for the 

first mode and from 1.41 to 2.48 percent for the second mode. Analysis indicated that measured 

damping ratios depend on the magnitude of vibration, suggesting the possibility of nonlinear or 

nonviscous type behavior of the cables.

The effects of aerodynamic damping on total damping were also studied. While a trend between 

wind speed and total damping is still possible, the total number of test runs for each cable was 

relatively modest and the wind conditions during the test period were too limited in scope to 

create a statistically significant regression line for separating aerodynamic from total damping. 

Future testing that focuses on the extraction of aerodynamic damping should consider more test 

runs for each cable, preferably during a much broader range of wind speeds and directions than 

in the testing reported here.

Initial Scruton values, which are used as a criterion to determine effective cable vibration 

mitigation, ranged from 0.6 to 2.1 before the installation of dampers. This is well below the 

target value of five for cables with aerodynamic surface treatments, such as the helical fillet used 

here. On the other hand, final Scruton values following installation of the dampers ranged from 7

to 12 and were well above the target value of 5 for the cables tested.

43

APPENDIX A. MODE FREQUENCY TABLES

Table 6. Phase 1 mode frequencies (Hz).

Box 1 Box 2

Cable Run 1 2 3 4 5 6 7 1 2 3 4 5 6 7

20A 1

A

0.794 1.54 — — — — — 0.794 1.54 — — — — —

20A 2 0.794 1.54 2.36 3.11 3.88 4.72 5.48 0.794 1.54 2.33 3.08 3.91 4.72 5.48

20A 3 0.781 1.54 2.36 3.11 3.81 4.72 5.47 0.781 1.54 2.33 3.08 3.80 4.72 5.47

20A 4 0.787 1.54 2.36 3.11 3.74 4.72 5.47 0.787 1.54 2.33 3.08 3.82 4.72 5.47

20A 5 0.794 1.54 2.37 3.11 3.89 4.72 5.47 0.794 1.54 2.33 3.08 3.89 4.72 5.48

20A 6 0.781 1.54 2.36 3.11 3.88 4.72 5.48 0.781 1.54 2.33 3.08 3.89 4.72 5.48

20A 7 0.794 1.54 2.30 3.11 3.83 4.72 5.51 0.794 1.54 2.30 3.08 3.82 4.77 5.51

20A 8 0.787 1.54 2.29 3.11 — — — 0.787 1.54 2.29 3.08 — — —

19A 1

A

0.830 1.64 — — — — — 0.830 1.64 — — — — —

19A 2 0.830 1.64 2.41 3.27 — — — 0.830 1.64 2.41 3.27 — — —

19A 3 0.830 1.62 2.50 3.26 4.13 5.01 5.79 0.830 1.62 2.50 3.26 4.13 5.01 5.80

19A 4 0.830 1.54 2.31 3.09 3.85 — — 0.830 1.54 2.31 3.09 — — —

19A 5 0.830 1.62 2.39 3.26 3.99 — — 0.830 1.62 2.41 3.26 3.99 4.82 —

19A 6 0.836 1.62 2.39 3.25 4.13 4.99 — 0.836 1.62 2.41 3.26 3.97 4.99 —

19A 7 0.830 1.62 2.38 3.21 3.99 4.86 — 0.830 1.62 2.39 3.27 3.97 4.85 —

19A 8 0.830 1.64 2.49 3.27 4.13 4.93 — 0.830 1.64 2.49 3.27 4.13 4.91 5.81

19A 9 0.830 1.64 2.34 3.32 4.13 5.01 — 0.830 1.64 2.49 3.30 — 5.01 —

18A 1

A

0.879 1.71 2.47 — — — — 0.879 1.71 2.47 — — — —

18A 2 0.856 1.69 2.54 3.37 4.20 5.10 5.88 0.856 1.69 2.54 3.39 4.25 5.10 5.86

18A 3 0.855 1.69 2.47 3.37 4.18 4.98 — 0.855 1.69 2.47 3.30 4.10 4.98 —

18A 4 0.879 1.69 2.44 3.25 4.15 4.96 — 0.879 1.69 2.44 3.25 4.12 4.86 —

18A 5

B

0.879 1.71 2.50 — — — — — — — — — — —

18A 6 0.867 1.71 2.41 3.41 4.14 — — 0.867 1.71 2.53 3.41 4.14 — —

18A 7 0.867 1.71 2.43 3.24 4.16 4.85 — 0.867 1.71 2.44 3.25 4.15 4.85 —

18A 8 0.867 1.70 2.52 3.41 4.19 5.14 — 0.867 1.70 2.53 3.42 4.18 5.14 —

18A 9 0.867 1.70 2.54 3.41 4.22 — — 0.867 1.70 2.54 3.41 4.27 5.23 —

18A 10 0.867 1.70 2.49 3.39 4.19 5.23 — 0.867 1.70 2.49 3.39 4.18 5.23 —

18A 11 0.879 1.71 2.47 3.37 4.18 5.20 — 0.878 1.71 2.47 3.27 4.15 5.23 —

18A 12 0.867 1.70 2.41 3.39 — — — 0.867 1.70 2.42 — — — —

17A 1

A

0.903 1.76 — — — — — 0.903 1.76 — — — — —

17A 2 0.903 1.76 2.42 3.20 — — — 0.903 1.76 2.42 3.20 — — —

17A 3

B

0.903 1.76 2.49 3.53 4.25 — — — — — — — — —

17A 4 0.928 1.76 2.49 3.27 4.35 — — 0.928 1.76 — — — — —

17A 5 0.794 1.76 2.38 3.17 4.35 — — 0.794 1.76 2.43 3.25 — — —

17A 6 0.903 1.76 2.37 3.16 — — — 0.903 1.76 2.38 3.24 — — —

17A 7 0.818 1.76 2.44 3.41 4.24 — — 0.818 1.76 2.44 3.24 4.20 — —

17A 8 0.903 1.76 2.48 3.53 4.30 5.27 — 0.903 1.76 2.50 3.53 4.24 — —

17A 9 0.903 1.76 2.66 3.52 4.42 5.27 6.19 0.903 1.76 2.66 3.52 4.36 5.27 6.19

16A 1

A

0.940 1.84 2.75 — — — — 0.940 1.84 2.75 — — — —

16A 2 0.940 1.84 2.66 3.67 4.57 5.65 6.54 0.940 1.84 2.66 3.67 4.60 5.65 —

16A 3 0.940 1.83 2.63 3.67 — — — 0.940 1.83 2.63 — — — —

16A 4 0.940 1.83 2.77 3.67 4.63 5.64 6.52 0.940 1.83 2.78 3.78 4.63 5.64 6.52

16A 5 0.940 1.83 2.77 3.65 4.59 5.63 6.52 0.940 1.83 2.82 3.70 4.59 5.63 6.52

16A 6 0.940 1.82 2.64 3.64 4.53 5.63 — 0.940 1.82 2.73 3.64 4.53 5.63 6.37

16A 7 0.940 1.83 2.77 3.76 4.59 5.64 6.52 0.940 1.83 2.82 3.70 4.60 5.64 6.53

16A 8 0.940 1.83 2.77 3.64 4.62 5.63 — 0.940 1.83 2.81 3.71 4.62 5.63 —

15A 1

A

0.977 1.93 — — — — — 0.977 1.93 — — — — —

15A 2 0.977 1.90 2.88 3.80 4.77 5.87 — 0.977 1.90 2.80 3.82 4.77 5.87 —
44

Box 1 Box 2

Cable Run 1 2 3 4 5 6 7 1 2 3 4 5 6 7

15A 3 0.977 1.90 2.76 3.67 4.63 — — 0.977 1.90 2.80 — — — —

15A 4 0.977 1.89 2.87 3.78 4.76 — — 0.977 1.90 2.83 3.80 4.76 — —

15A 5 0.977 1.90 2.87 3.78 4.79 5.87 6.64 0.977 1.90 2.84 3.86 4.79 5.87 6.65

15A 6 0.977 1.90 2.87 3.92 4.76 5.87 6.69 0.977 1.90 2.93 3.81 4.76 5.87 6.69

15A 7 0.977 1.90 2.87 3.79 4.77 5.87 6.65 0.977 1.90 2.84 3.79 4.83 5.87 6.68

14A 1

A

1.05 2.06 — — — — — 1.05 2.06 — — — — —

14A 2 1.05 2.04 2.98 4.05 5.16 6.30 7.14 1.05 2.04 2.99 4.19 5.15 6.30 —

14A 3 1.05 2.03 3.08 4.03 5.15 6.27 — 1.05 2.03 3.05 4.18 5.15 6.27 —

14A 4 1.04 2.03 2.99 4.03 5.14 6.26 7.25 1.04 2.03 3.00 4.18 5.14 6.26 7.25

14A 5 1.04 2.03 3.08 4.04 5.15 6.26 7.25 1.04 2.03 3.06 4.18 5.14 6.26 7.25

14A 6 1.04 2.03 2.92 3.92 4.90 6.26 — 1.04 2.03 2.93 — — — —

14A 7 1.05 2.05 — 3.93 5.18 — — 1.05 2.05 — 3.91 5.18 — —

14A 8 1.04 2.03 2.95 3.99 5.09 6.26 7.25 1.04 2.03 2.95 4.18 5.09 6.26 —

13A 1

A

1.09 2.12 — — — — — 1.09 2.12 — — — — —

13A 2 1.09 2.11 2.97 4.04 — — — 1.09 2.11 2.98 3.90 — — —

13A 3 1.09 2.11 3.14 4.19 5.24 6.37 7.40 1.09 2.10 3.14 — 5.24 6.37 —

13A 4 1.09 2.10 2.99 4.20 — — — 1.09 2.10 3.16 — — — —

13A 5 1.09 2.10 3.17 4.18 5.24 6.31 — 1.09 2.10 3.15 — 5.25 6.30 7.30

13A 6 1.09 2.10 3.13 4.05 5.13 — — 1.09 2.10 3.08 — — — —

13A 7 1.09 2.10 3.15 4.18 5.24 6.37 7.32 1.09 2.10 3.14 — 5.25 6.32 7.30

12A 1

A

1.17 2.28 3.26 — — — — 1.17 2.28 — — — — —

12A 2 1.17 2.28 3.17 — — — — 1.17 2.28 — — — — —

12A 3 1.17 2.28 — — — — — 1.17 2.28 — — — — —

12A 4 1.17 2.26 3.21 4.40 — — — 1.17 2.26 3.21 — — — —

12A 5 1.17 2.27 3.30 4.52 — — — 1.17 2.27 — — — — —

12A 6 1.17 2.27 3.17 4.41 — — — 1.17 2.27 — — — — —

12A 7 1.17 2.26 3.27 4.36 — — — 1.17 2.26 — — — — —

12A 8 1.16 2.27 3.25 4.43 — — — 1.16 2.27 — — — — —

12A 9 1.17 2.25 3.24 4.33 — — — 1.17 2.25 — — — — —

12A 10 1.17 2.27 3.28 4.37 — — — 1.17 2.27 — — — — —

20C 1

A

0.732 1.47 — — — — — 0.732 1.47 — — — — —

20C 2 0.745 1.45 2.20 2.89 3.66 4.43 5.14 0.745 1.45 2.22 2.87 3.66 4.44 5.14

20C 3 0.739 1.45 2.19 2.95 3.67 4.44 5.15 0.739 1.45 2.22 2.91 3.70 4.44 5.15

20C 4 0.745 1.45 2.19 2.95 3.66 4.43 5.14 0.745 1.45 2.22 2.87 3.70 4.43 5.14

20C 5 0.732 1.44 2.19 2.88 3.66 4.42 5.14 0.732 1.44 2.21 2.92 3.69 4.42 5.14

20C 6 0.732 1.44 2.22 2.93 3.66 4.42 5.13 0.732 1.44 2.22 2.93 3.66 4.42 5.13

20C 7 0.732 1.45 2.19 2.92 3.66 4.42 5.14 0.732 1.45 2.19 2.92 3.66 4.42 5.14

20C 8 0.732 1.45 2.19 2.91 3.66 4.43 5.14 0.732 1.45 2.17 2.89 3.66 4.43 5.14

19C 1

A

0.720 1.40 — — — — — 0.720 1.40 — — — — —

19C 2 0.714 1.40 2.08 2.80 3.53 4.30 4.96 0.714 1.40 2.08 2.80 3.53 4.30 4.96

19C 3 0.714 1.40 2.12 2.80 3.53 4.28 4.96 0.714 1.40 2.11 2.80 3.53 4.30 4.96

19C 4 0.708 1.40 2.09 2.80 3.54 4.29 4.96 0.708 1.39 2.09 2.78 3.53 4.29 4.97

19C 5 0.714 1.40 2.11 2.80 3.53 4.30 4.91 0.714 1.40 2.09 2.79 3.53 4.28 4.96

19C 6 0.714 1.40 2.11 2.80 3.53 4.30 4.96 0.714 1.40 2.10 2.80 3.53 4.30 4.96

18C 1

A

0.757 1.49 — — — — — 0.757 1.49 — — — — —

18C 2 0.751 1.47 2.17 2.94 3.70 4.52 5.18 0.751 1.47 2.18 2.94 3.70 4.52 5.18

18C 3 0.751 1.47 2.22 2.95 3.74 4.52 5.24 0.751 1.47 2.22 2.95 3.72 4.52 5.23

18C 4 0.751 1.47 2.16 2.95 3.73 4.52 5.24 0.751 1.47 2.15 2.97 3.71 4.52 5.23

18C 5 0.757 1.47 2.22 2.94 3.70 4.50 5.15 0.757 1.47 2.20 2.94 3.71 4.43 5.15

18C 6 0.757 1.48 2.14 2.94 3.73 4.52 5.24 0.757 1.48 2.14 2.98 3.72 4.52 5.24

17C 1

A

0.781 1.54 2.25 2.98 — — — 0.781 1.54 2.25 3.05 — — —
45

Box 1 Box 2

Cable Run 1 2 3 4 5 6 7 1 2 3 4 5 6 7

17C 2 0.781 1.53 2.27 3.04 3.86 4.68 5.43 0.781 1.53 2.27 3.06 3.85 4.68 5.42

17C 3 0.781 1.53 2.26 3.03 3.86 4.69 5.42 0.781 1.53 2.26 3.05 3.83 4.69 5.42

17C 4 0.781 1.53 2.30 3.05 3.86 4.68 5.43 0.781 1.53 2.28 3.06 3.86 4.68 5.42

17C 5 0.781 1.53 2.30 3.05 3.86 4.68 5.43 0.781 1.53 2.27 3.05 3.86 4.68 5.43

A Baseline run.

B Unreadable data.

Table 7. Phase 1 averaged mode frequencies (Hz).

Cable 1 2 3 4 5 6 7

20A 0.794 1.54 2.33 3.11 3.89 4.72 5.48

19A 0.830 1.62 2.41 3.27 4.13 4.99 5.80

18A 0.867 1.70 2.47 3.37 4.18 5.10 5.88

17A 0.903 1.76 2.49 3.41 4.30 5.27 6.19

16A 0.940 1.83 2.75 3.67 4.59 5.64 6.52

15A 0.977 1.90 2.87 3.80 4.76 5.87 6.65

14A 1.05 2.03 3.00 4.05 5.14 6.26 7.25

13A 1.09 2.10 3.13 4.18 5.24 6.37 7.30

12A 1.17 2.27 3.24 4.40 — — —

20C 0.732 1.45 2.19 2.92 3.66 4.43 5.14

19C 0.714 1.40 2.09 2.80 3.53 4.29 4.96

18C 0.757 1.47 2.18 2.94 3.72 4.52 5.23

17C 0.781 1.53 2.27 3.05 3.86 4.68 5.43
46

Table 8. Phase 1 theoretical frequencies of the first mode (Hz).

Cable Frequency Cable Frequency

20A 0.761 20C 0.637

19A 0.796 19C 0.657

18A 0.848 18C 0.710

17A 0.880 17C 0.745

16A 0.939 16C 0.799

15A 0.984 15C 0.843

14A 1.052 14C 0.904

13A 1.099 13C 0.949

12A 1.189 12C 1.025

11A 1.244 11C 1.079

10A 1.361 10C 1.176

9A 1.434 9C 1.246

8A 1.567 8C 1.360

7A 1.687 7C 1.475

6A 1.880 6C 1.638

5A 2.025 5C 1.773

4A 2.332 4C 2.030

3A 2.531 3C 2.216

2A 3.017 2C 2.611

1A 3.325 1C 2.894
47

Table 9. Phase 2 mode frequencies (Hz).

Box 1 Box 2

Cable Run 1 2 3 4 5 6 7 1 2 3 4 5 6 7

20A 1 0.781 1.54 2.32 3.10 3.88 4.69 5.44 0.781 1.54 2.32 3.10 3.88 4.69 5.44

20A 2 0.781 1.54 2.27 3.08 3.88 4.64 5.44 0.781 1.54 2.32 3.10 3.88 4.66 5.44

20A 3 0.781 1.56 2.37 3.13 3.93 4.71 5.47 0.781 1.56 2.39 3.15 3.93 4.71 5.47

20A 4 0.781 1.54 2.34 3.10 3.91 4.69 5.44 0.781 1.54 2.32 3.10 3.91 4.69 5.44

20A 5 0.781 1.54 2.34 3.10 3.88 4.69 5.44 0.781 1.54 2.32 3.10 3.88 4.66 5.44

20A 6 0.781 1.54 2.34 3.10 3.91 4.69 5.44 0.781 1.54 2.32 3.10 3.91 4.69 5.44

20A 7 0.781 1.54 2.34 3.10 3.91 4.69 5.44 0.781 1.56 2.32 3.10 3.91 4.69 5.44

20A 8 0.781 1.56 2.34 3.13 3.91 4.69 5.47 0.781 1.56 2.34 3.10 3.91 4.69 5.47

20A 9 0.781 1.56 2.34 3.13 3.91 4.69 5.47 0.781 1.56 2.37 3.13 3.91 4.69 5.47

20A 10 0.781 1.56 2.34 3.10 3.91 4.69 5.47 0.781 1.56 2.32 3.10 3.91 4.69 5.47

19A 1

A — — — — — — — — — — — — — —

19A 2 0.830 1.64 2.47 3.27 4.15 4.98 5.79 0.830 1.64 2.47 3.27 4.15 4.96 5.79

19A 3 0.830 1.64 2.47 3.27 4.13 4.98 5.81 0.830 1.64 2.47 3.27 4.13 4.96 5.79

19A 4 0.830 1.64 2.47 3.30 4.15 4.98 5.81 0.830 1.64 2.44 3.27 4.15 4.96 5.79

19A 5 0.830 1.66 2.49 3.32 4.15 4.98 5.79 0.830 1.66 2.49 3.30 4.15 4.98 5.79

19A 6 0.830 1.64 2.47 3.30 4.13 4.96 5.79 0.830 1.64 2.47 3.30 4.13 4.96 5.76

19A 7 0.830 1.64 2.47 3.30 4.10 4.98 5.84 0.830 1.64 2.44 3.27 4.13 4.93 5.81

19A 8 0.830 1.64 2.47 3.30 4.13 4.98 5.81 0.830 1.64 2.47 3.30 4.13 4.98 5.79

18A 1

A — — — — — — — — — — — — — —

18A 2 0.855 1.69 2.56 3.39 4.20 5.13 6.03 0.855 1.69 2.61 3.37 4.30 5.13 6.01

18A 3 0.855 1.69 2.54 3.39 4.22 5.13 6.03 0.855 1.69 2.54 3.37 4.27 5.13 6.03

18A 4 0.855 1.69 2.54 3.37 4.18 5.10 6.06 0.855 1.69 2.54 3.37 4.37 5.10 5.88

18A 5 0.855 1.69 2.56 3.39 4.25 5.13 5.91 0.855 1.69 2.54 3.37 4.27 5.13 5.91

18A 6 0.855 1.71 2.56 3.42 4.27 5.15 6.03 0.855 1.71 2.59 3.37 4.27 5.15 6.01

18A 7 0.855 1.69 2.54 3.37 4.25 5.08 5.98 0.855 1.69 2.54 3.37 4.27 5.08 5.98

18A 8 0.855 1.69 2.56 3.39 4.27 5.13 6.06 0.855 1.69 2.54 3.37 4.27 5.13 5.93

18A 9 0.855 1.69 2.54 3.39 4.25 5.10 6.06 0.855 1.69 2.54 3.37 4.27 5.10 5.98

17A 1

A — — — — — — — — — — — — — —

17A 2 0.903 1.76 2.66 3.52 4.42 5.42 6.30 0.903 1.76 2.64 3.56 4.37 5.40 6.42

17A 3 0.903 1.78 2.71 3.59 4.52 5.42 6.40 0.903 1.78 2.66 3.76 4.54 5.42 6.40

17A 4 0.903 1.78 2.71 3.52 4.42 5.42 6.37 0.903 1.78 2.64 3.54 4.52 5.42 6.27

17A 5 0.903 1.78 2.69 3.56 4.42 5.42 6.30 0.903 1.78 2.66 3.59 4.37 5.42 6.42

17A 6 0.903 1.76 2.73 3.59 4.54 5.44 6.40 0.903 1.76 2.73 3.81 4.54 5.44 6.40

17A 7 0.903 1.78 2.66 3.56 4.44 5.42 6.35 0.903 1.78 2.76 3.59 4.54 5.42 6.32

17A 8 0.903 1.81 2.71 3.66 4.52 5.42 6.42 0.903 1.81 2.69 3.61 4.52 5.42 6.40

17A 9 0.903 1.78 2.71 3.59 4.52 5.42 6.42 0.903 1.78 2.71 3.69 4.54 5.42 6.42

17A 10 0.903 1.78 2.71 3.59 4.52 5.44 6.42 0.928 1.81 2.73 3.61 4.54 5.42 6.30

16A 1

A — — — — — — — — — — — — — —

16A 2

A — — — — — — — — — — — — — —

16A 3 0.928 1.83 2.78 3.69 4.61 5.64 6.59 0.928 1.83 2.76 3.71 4.61 5.64 6.57

16A 4 0.928 1.83 2.78 3.69 4.61 5.64 6.57 0.928 1.83 2.73 3.69 4.61 5.64 6.54

16A 5 0.928 1.86 2.76 3.69 4.61 5.64 6.54 0.928 1.86 2.76 3.71 4.64 5.64 6.57

16A 6 0.928 1.81 2.78 3.71 4.59 6.62 6.59 0.928 1.86 2.73 3.71 4.59 5.62 6.54

16A 7 0.928 1.86 2.81 3.69 4.66 5.64 6.59 0.952 1.86 2.81 3.74 4.69 5.64 6.59

16A 8 0.952 1.86 2.83 — 4.69 5.64 6.62 0.952 1.86 2.83 3.74 4.69 5.64 6.62

16A 9 0.928 1.86 2.83 3.71 4.69 5.66 6.64 0.928 1.86 2.83 3.71 4.69 5.66 6.64

16A 10 0.952 1.83 2.81 3.69 4.61 5.64 6.62 0.952 1.83 2.78 3.71 4.61 5.64 6.64

16A 11 0.952 1.90 2.83 3.71 4.59 5.66 6.69 0.952 1.90 2.83 3.71 4.66 5.66 6.71

15A 1

A — — — — — — — — — — — — — —

15A 2 0.977 1.95 2.93 3.91 4.91 5.91 6.89 0.977 1.95 2.91 3.91 4.91 5.88 6.93
48

Box 1 Box 2

Cable Run 1 2 3 4 5 6 7 1 2 3 4 5 6 7

15A 3 0.977 1.95 2.93 3.91 4.91 5.91 6.89 0.977 1.93 2.88 3.86 4.88 5.88 6.91

15A 4 0.977 1.95 2.95 3.93 4.93 5.91 6.98 0.977 1.95 2.95 3.93 4.91 5.91 6.98

15A 5 0.977 1.93 2.93 3.88 4.86 5.91 6.84 0.977 1.93 2.88 3.88 4.88 5.88 6.91

15A 6 0.977 1.93 2.93 3.88 4.86 5.88 6.84 0.977 1.93 2.88 3.88 4.86 5.88 6.93

15A 7 0.977 1.95 2.95 3.93 4.92 5.93 6.79 0.977 1.95 2.98 4.00 4.91 5.91 6.93

15A 8 0.977 1.93 2.93 3.88 4.86 5.88 6.93 0.977 1.93 2.88 3.91 4.86 5.88 6.91

15A 9 0.977 1.95 2.93 3.91 4.83 5.86 6.84 0.977 1.95 2.93 3.86 4.93 5.86 6.84

15A 10 0.977 1.93 2.93 3.88 4.86 5.88 6.86 0.977 1.93 2.91 3.91 4.88 5.88 6.91

14A 1

A — — — — — — — — — — — — — —

14A 2 0.977 1.98 2.95 3.93 4.91 5.86 7.06 1.00 1.98 2.95 4.08 4.91 — —

14A 3 1.03 2.05 3.13 4.15 5.23 6.30 7.28 1.03 2.05 3.17 4.15 5.18 6.30 7.37

14A 4 1.05 2.08 3.17 4.18 5.23 6.30 7.32 1.05 2.08 3.17 4.18 5.20 6.30 7.37

14A 5 1.05 2.03 3.03 4.13 5.15 6.30 7.25 1.05 2.03 3.03 4.13 5.15 6.27 7.35

14A 6 1.05 2.03 3.08 4.13 5.15 6.30 7.25 1.05 2.05 3.05 4.10 5.15 6.30 7.20

14A 7 1.03 2.05 3.13 4.15 5.18 6.30 7.23 1.03 2.05 3.13 4.10 5.18 6.25 7.23

14A 8 1.05 2.05 3.15 4.15 5.18 6.30 7.25 1.05 2.05 3.13 4.13 5.18 6.30 7.23

14A 9 1.05 2.05 3.08 4.15 5.15 6.30 7.25 1.05 2.05 3.08 4.13 5.18 6.27 7.23

14A 10 1.05 2.08 3.10 4.15 5.18 6.30 7.28 1.05 2.08 3.10 4.13 5.20 6.27 7.37

14A 11 1.07 2.05 3.17 4.20 5.23 6.30 7.37 1.07 2.05 3.22 4.20 5.18 6.30 7.37

13A 1

A — — — — — — — — — — — — — —

13A 2 1.10 2.15 3.22 4.32 5.40 6.54 7.57 1.10 2.15 3.22 4.40 5.40 6.54 7.67

13A 3 1.07 2.12 3.22 4.32 5.40 6.54 7.54 1.07 2.15 3.20 4.35 5.37 6.54 7.59

13A 4 1.10 2.15 3.25 4.32 5.40 6.54 7.50 1.10 2.15 3.32 4.40 5.37 6.54 7.62

13A 5 1.07 2.12 3.20 4.30 5.40 6.47 7.67 1.07 2.15 3.27 4.37 5.40 6.47 7.47

13A 6 1.07 2.15 3.22 4.30 5.37 6.47 7.69 1.07 2.15 3.22 4.44 5.37 6.47 7.52

13A 7 1.07 2.12 3.20 4.27 5.37 6.45 7.52 1.07 2.12 3.20 4.27 5.37 6.45 7.45

13A 8 1.05 2.10 3.17 4.20 5.27 6.32 7.37 1.05 2.10 3.15 4.22 5.27 6.32 —

13A 9 1.07 2.12 3.17 4.22 5.30 6.35 7.37 1.07 2.12 3.17 4.25 5.27 6.35 7.45

13A 10 1.07 2.10 3.17 4.30 5.35 6.37 7.40 1.07 2.10 3.13 4.25 5.27 6.32 —

13A 11 1.07 2.12 3.22 4.30 5.37 6.49 7.47 1.07 2.12 3.27 4.30 5.37 6.49 7.57

12A 1

A — — — — — — — — — — — — — —

12A 2 1.16 2.31 3.46 4.66 5.81 7.06 8.06 1.16 2.31 3.53 4.60 5.80 7.06 8.14

12A 3 1.17 2.30 3.44 4.57 5.86 7.08 8.01 1.17 2.30 3.52 4.57 5.74 7.08 8.20

12A 4 1.17 2.27 3.47 4.59 5.81 7.08 8.03 1.17 2.30 3.54 4.54 5.79 7.08 8.15

12A 5 1.17 2.32 3.49 4.66 5.84 7.08 8.03 1.17 2.32 5.54 4.66 5.81 7.08 8.23

12A 6 1.17 2.32 3.49 4.69 5.84 7.08 8.06 1.17 2.32 3.54 4.69 5.81 7.08 8.30

12A 7 1.20 2.39 3.54 4.83 5.88 7.20 8.33 1.20 2.42 3.56 4.81 5.88 7.13 8.30

12A 8 1.17 2.39 3.54 4.74 5.91 7.13 8.28 1.17 2.39 3.56 4.96 5.91 7.10 8.30

12A 9 1.17 2.32 3.49 4.66 5.84 7.10 8.23 1.17 2.32 3.47 4.69 5.81 7.10 8.25

12A 10 1.17 2.37 3.54 4.69 5.84 7.10 8.33 1.17 2.37 3.59 4.74 5.81 7.10 8.23

12A 11 1.17 2.37 3.52 4.69 5.86 7.10 8.20 1.17 2.37 3.54 4.71 5.93 7.10 8.23

20C 1

A — — — — — — — — — — — — — —

20C 2

B — — — — — — — — — — — — — —

20C 3

B — — — — — — — — — — — — — —

20C 4

B — — — — — — — — — — — — — —

20C 5 0.745 1.47 2.22 2.93 — 4.41 5.18 0.745 1.47 2.22 2.94 3.70 4.41 5.18

20C 6 0.732 1.47 2.22 2.91 3.66 4.37 5.15 0.732 1.47 2.17 2.88 3.69 4.37 5.15

20C 7 0.732 1.44 2.22 2.91 3.69 4.40 5.18 0.732 1.47 2.20 2.95 3.69 4.40 5.18

20C 8 0.732 1.47 2.22 2.93 3.69 4.44 5.18 0.732 1.47 2.20 2.95 3.69 4.44 5.18

20C 9 0.732 1.47 2.22 2.91 3.66 4.37 5.15 0.732 1.47 2.20 2.95 3.69 4.40 5.15

20C 10 0.732 1.44 2.20 2.93 3.64 4.35 5.18 0.732 1.44 2.17 2.95 3.69 4.40 5.18
49

Box 1 Box 2

Cable Run 1 2 3 4 5 6 7 1 2 3 4 5 6 7

20C 11 0.732 1.47 2.20 2.93 3.66 4.42 5.15 0.732 1.47 2.20 2.95 3.69 4.40 5.15

20C 12 0.732 1.47 2.22 2.93 3.69 4.40 5.18 0.732 1.47 2.22 2.98 3.69 4.40 5.18

20C 13 0.732 1.44 2.22 2.95 3.64 4.40 5.18 0.732 1.44 2.20 2.95 3.69 4.40 5.18

20C 14 0.732 1.47 2.21 2.93 3.66 4.38 5.15 0.732 1.47 2.22 2.95 3.69 4.40 5.15

19C 1

A — — — — — — — — — — — — — —

19C 2 0.708 1.42 2.15 2.84 3.58 4.27 5.02 0.702 1.42 2.15 2.84 3.58 4.27 4.99

19C 3 0.708 1.42 2.15 2.86 3.59 4.27 5.01 0.708 1.42 2.15 2.86 3.59 4.27 5.01

19C 4 0.732 1.42 2.15 2.83 3.52 4.25 5.03 0.708 1.42 2.15 2.86 3.56 4.25 5.03

19C 5 0.708 1.42 2.15 2.83 3.56 4.27 4.98 0.708 1.42 2.15 2.86 3.56 4.27 4.98

19C 6 0.708 1.42 2.15 2.83 3.56 4.27 4.96 0.708 1.42 2.15 2.76 3.59 4.27 5.01

19C 7 0.708 1.42 2.15 2.83 3.56 4.27 4.98 0.708 1.42 2.12 2.86 3.56 4.27 5.01

19C 8 0.708 1.42 2.17 2.86 3.54 4.30 4.98 0.708 1.42 2.15 2.81 3.59 4.27 4.98

19C 9 0.708 1.42 2.15 2.83 3.56 4.27 5.01 0.708 1.42 2.15 2.88 3.59 4.27 5.01

19C 10 0.720 1.40 2.15 2.83 3.54 4.26 4.96 0.720 1.42 2.16 2.86 3.58 4.26 4.96

18C 1

A — — — — — — — — — — — — — —

18C 2 0.757 1.49 2.25 2.98 3.74 4.52 5.35 0.757 1.49 2.22 3.00 3.76 4.52 5.32

18C 3 0.757 1.49 2.23 2.99 3.74 4.52 5.27 0.757 1.49 2.23 2.99 3.77 4.52 5.27

18C 4 0.757 1.49 2.27 2.98 3.78 4.52 5.35 0.757 1.49 2.25 2.98 3.78 4.52 5.23

18C 5 0.757 1.49 2.27 3.00 3.81 4.52 5.23 0.757 1.49 2.25 3.00 3.78 4.52 5.27

18C 6 0.757 1.49 2.27 3.00 3.78 4.52 5.27 0.757 1.49 2.25 3.00 3.78 4.52 5.27

18C 7 0.757 1.49 2.27 3.00 3.78 4.52 5.27 0.757 1.49 2.25 3.00 3.78 4.52 5.27

18C 8 0.757 1.49 2.27 2.98 3.71 4.52 5.25 0.757 1.49 2.25 2.98 3.81 4.52 5.25

18C 9 0.757 1.49 2.27 3.00 3.81 4.52 5.27 0.757 1.50 2.27 3.00 3.77 4.52 5.27

18C 10 0.757 1.49 2.27 2.98 3.74 4.52 5.27 0.757 1.49 2.25 3.00 3.81 4.52 5.25

17C 1

A — — — — — — — — — — — — — —

17C 2 0.781 1.55 2.37 3.11 3.80 4.70 5.54 0.781 1.55 2.43 3.11 3.88 4.70 5.54

17C 3 0.781 1.56 2.34 3.13 3.88 4.69 5.52 0.781 1.56 2.37 3.13 3.96 4.69 5.54

17C 4 0.781 1.55 2.36 3.13 3.88 4.70 5.53 0.794 1.55 2.37 3.14 3.94 4.70 5.53

17C 5 0.781 1.54 2.32 3.10 3.83 4.69 5.52 0.781 1.54 2.30 3.10 3.86 4.69 5.52

17C 6 0.781 1.56 2.34 3.13 3.91 4.69 5.52 0.781 1.56 2.34 3.13 3.93 4.69 5.52

17C 7 0.781 1.56 2.34 3.13 3.91 4.69 5.52 0.781 1.56 2.34 3.13 3.91 4.69 5.52

17C 8 0.781 1.56 2.34 3.13 3.88 4.69 5.52 0.781 1.56 2.34 3.13 3.93 4.69 5.52

17C 9 0.781 1.56 2.37 3.15 3.98 4.69 5.54 0.781 1.56 2.37 3.15 3.98 4.69 5.54

16C 1

A — — — — — — — — — — — — — —

16C 2 0.830 1.66 2.49 3.32 4.13 5.01 5.86 0.830 1.66 2.49 3.32 4.15 4.98 5.81

16C 3 0.830 1.66 2.49 3.32 4.13 4.98 5.79 0.830 1.66 2.49 3.32 4.15 4.98 5.79

16C 4 0.830 1.65 2.49 3.31 4.14 5.01 5.81 0.830 1.65 2.52 3.32 4.15 4.99 5.81

16C 5 0.830 1.64 2.47 3.30 4.13 4.98 5.76 0.830 1.64 2.47 3.30 4.13 4.96 5.76

16C 6 0.830 1.66 2.49 3.32 4.15 4.98 5.81 0.830 1.66 2.49 3.32 4.15 4.98 5.81

16C 7 0.830 1.64 2.49 3.30 4.15 4.98 5.86 0.830 1.66 2.52 3.32 4.15 4.98 5.86

16C 8 0.830 1.66 2.52 3.32 4.15 5.01 5.86 0.830 1.66 2.52 3.32 4.15 5.01 5.86

16C 9 0.830 1.66 2.52 3.35 4.18 5.03 5.88 0.830 1.66 2.52 3.35 4.18 5.03 5.88

16C 10 0.830 1.66 2.49 3.32 4.13 4.98 5.86 0.830 1.66 2.49 3.32 4.15 4.98 5.86

15C 1

A — — — — — — — — — — — — — —

15C 2 0.855 1.71 2.59 3.44 4.30 5.18 6.01 0.855 1.71 2.54 3.49 4.27 5.18 5.98

15C 3 0.855 1.71 2.59 3.42 4.27 5.15 5.93 0.855 1.71 2.54 3.44 4.27 5.15 6.06

15C 4 0.855 1.71 2.59 3.44 4.32 5.20 6.08 0.879 1.71 2.56 3.44 4.32 5.20 6.03

15C 5 0.855 1.69 2.59 3.42 4.35 5.15 6.01 0.855 1.69 2.54 3.42 4.22 5.15 6.01

15C 6 0.855 1.71 2.59 3.44 4.32 5.18 6.03 0.855 1.71 2.56 3.44 4.30 5.18 6.03

15C 7 0.855 1.71 2.59 3.44 4.32 5.18 6.13 0.855 1.71 2.54 3.49 4.30 5.18 6.13

15C 8 0.855 1.71 2.59 3.42 4.30 5.18 5.96 0.855 1.71 2.56 3.44 4.30 5.18 6.01
50

Box 1 Box 2

Cable Run 1 2 3 4 5 6 7 1 2 3 4 5 6 7

15C 9 0.855 1.69 2.59 3.42 4.27 5.18 6.15 0.855 1.69 2.54 3.42 4.25 5.18 6.13

15C 10 0.879 1.71 2.61 3.44 4.32 5.20 6.08 0.879 1.73 2.61 3.47 4.32 5.20 6.10

14C 1

A — — — — — — — — — — — — — —

14C 2 0.928 1.81 2.73 3.66 4.57 5.49 6.49 0.928 1.83 2.73 3.64 4.57 5.49 6.49

14C 3 0.928 1.81 2.76 3.66 4.57 5.49 6.54 0.928 1.83 2.73 3.66 4.54 5.49 6.52

14C 4 0.928 1.83 2.76 3.66 4.57 5.49 6.47 0.928 1.83 2.73 3.66 4.54 5.52 6.47

14C 5 0.928 1.83 2.76 3.66 4.64 5.49 6.47 0.928 1.83 2.73 3.66 4.54 5.52 6.47

14C 6 0.928 1.83 2.78 3.69 4.61 5.54 6.52 0.928 1.86 2.81 3.69 5.64 5.57 6.52

14C 7 0.928 1.83 2.76 3.66 4.57 5.52 6.47 0.928 1.83 2.73 3.66 4.59 5.52 6.47

14C 8 0.928 1.83 2.78 3.66 4.59 5.54 6.49 0.928 1.83 2.73 3.66 4.64 5.54 6.49

20B 1

A — — — — — — — — — — — — — —

20B 2 0.708 1.42 2.15 2.87 3.52 4.27 4.98 0.708 1.42 2.15 2.83 3.56 4.27 4.98

20B 3 0.708 1.42 2.15 2.83 3.52 4.25 5.01 0.708 1.42 2.10 2.86 3.56 4.25 5.01

20B 4 0.708 1.40 2.14 2.82 3.55 4.25 4.99 0.708 1.40 2.11 2.83 3.55 4.25 4.99

20B 5 0.708 1.39 2.15 2.83 3.52 4.25 4.96 0.708 1.39 2.12 2.76 3.49 4.25 4.96

20B 6 0.708 1.39 2.15 2.81 3.52 4.25 4.91 0.708 1.39 2.12 2.83 3.56 4.25 4.93

20B 7 0.708 1.42 2.15 2.86 3.56 4.27 5.01 0.708 1.42 2.12 2.83 3.56 4.27 5.01

20B 8 0.708 1.39 2.12 2.83 3.49 4.21 4.91 0.708 1.39 2.14 2.80 3.49 4.21 4.91

20B 9 0.708 1.39 2.15 2.81 3.52 4.27 4.93 0.708 1.42 2.12 2.86 3.56 4.25 4.96

20B 10 0.708 1.40 2.15 2.83 3.52 4.26 4.97 0.708 1.40 2.12 2.83 3.56 4.26 4.97

19B 1

A — — — — — — — — — — — — — —

19B 2 0.720 1.43 2.18 2.87 3.56 4.35 5.02 0.720 1.43 2.20 2.88 3.64 4.32 5.02

19B 3 0.720 1.43 2.17 2.87 3.63 4.33 5.09 0.720 1.43 2.17 2.87 3.63 4.33 5.09

19B 4 0.720 1.43 2.17 2.87 3.63 4.32 5.03 0.720 1.43 2.17 2.88 3.63 4.32 5.09

19B 5 0.720 1.43 2.17 2.86 3.61 4.33 4.98 0.720 1.43 2.16 2.87 3.63 4.33 4.98

19B 6 0.720 1.43 2.17 2.86 3.63 4.33 5.02 0.720 1.43 2.19 2.87 3.63 4.33 5.02

19B 7 0.720 1.43 2.17 2.87 3.59 4.32 5.02 0.720 1.43 2.19 2.87 3.63 4.32 5.02

19B 8 0.720 1.43 2.17 2.87 3.61 4.32 5.07 0.720 1.43 2.17 2.87 3.63 4.32 5.07

19B 9 0.732 1.44 2.17 2.86 3.61 4.32 5.03 0.732 1.44 2.20 2.88 3.61 4.32 5.03

19B 10 0.720 1.43 2.19 2.87 3.63 4.33 4.99 0.720 1.43 2.19 2.87 3.63 4.33 4.99

19B 11 0.732 1.44 2.17 2.88 3.64 4.35 5.05 0.732 1.44 2.17 2.88 3.64 4.35 5.08

18B 1

A — — — — — — — — — — — — — —

18B 2 0.745 1.47 2.25 2.95 3.74 4.44 5.21 0.745 1.47 2.21 2.95 3.74 4.44 5.21

18B 3 0.732 1.47 2.25 2.94 3.74 4.42 5.21 0.745 1.47 2.22 2.93 3.74 4.43 5.29

18B 4 0.745 1.47 2.22 2.94 3.69 4.44 5.20 0.745 1.47 2.20 2.94 3.71 4.43 5.21

18B 5 0.732 1.47 2.25 2.95 3.71 4.44 5.23 0.732 1.47 2.22 2.95 3.74 4.44 5.23

18B 6 0.732 1.47 2.25 2.98 3.71 4.44 5.23 0.732 1.47 2.20 2.95 3.74 4.44 5.23

18B 7 0.732 1.49 2.25 2.98 3.74 4.47 5.20 0.732 1.49 2.25 2.95 3.74 4.47 5.20

18B 8 0.732 1.47 2.25 2.98 3.69 4.44 5.27 0.732 1.47 2.22 2.93 3.66 4.44 5.27

18B 9 0.732 1.47 2.25 2.95 3.69 4.44 5.30 0.732 1.47 2.22 2.95 3.69 4.44 5.30

17B 1

A — — — — — — — — — — — — — —

17B 2 0.781 1.56 2.39 3.13 3.86 4.71 5.47 0.781 1.56 2.37 3.15 3.91 4.71 5.47

17B 3 0.781 1.54 2.39 3.15 3.96 4.74 5.49 0.781 1.56 2.30 3.15 3.83 4.74 5.49

17B 4 0.781 1.54 2.39 3.13 3.86 4.69 5.54 0.794 1.55 2.37 3.08 3.87 4.68 5.44

17B 5 0.781 1.56 2.37 3.13 3.93 4.74 5.57 0.781 1.56 2.37 3.15 3.96 4.74 5.49

17B 6 0.794 1.58 2.38 3.14 3.97 4.74 5.52 0.794 1.58 2.37 3.15 3.96 4.75 5.52

17B 7 0.781 1.56 2.37 3.15 3.93 4.74 5.52 0.781 1.56 2.37 3.15 3.96 4.74 5.49

17B 8 0.781 1.56 2.37 3.13 3.93 4.71 5.49 0.781 1.56 2.37 3.15 3.93 4.71 5.49

17B 9 0.781 1.56 2.39 3.13 3.96 4.74 5.52 0.781 1.56 2.37 3.13 3.96 4.74 5.57

17B 10 0.781 1.56 2.39 3.15 3.91 4.71 5.49 0.781 1.56 2.37 3.15 3.93 4.71 5.49

16B 1

A — — — — — — — — — — — — — —
51

Box 1 Box 2

Cable Run 1 2 3 4 5 6 7 1 2 3 4 5 6 7

16B 2 0.842 1.66 2.54 3.33 4.16 5.03 5.90 0.842 1.66 2.55 3.35 4.19 5.03 5.89

16B 3 0.855 1.69 2.54 3.32 4.25 5.08 5.93 0.855 1.69 2.54 3.37 4.22 5.08 5.93

16B 4 0.842 1.67 2.53 3.35 4.18 5.04 5.90 0.842 1.67 2.55 3.36 4.20 5.04 5.93

16B 5 0.842 1.67 2.53 3.35 4.19 5.04 5.95 0.842 1.67 2.58 3.37 4.22 5.05 5.95

16B 6 0.830 1.66 2.49 3.35 4.18 5.03 5.81 0.830 1.66 2.56 3.37 4.18 5.03 5.93

16B 7 0.842 1.66 2.50 3.35 4.18 5.04 5.84 0.842 1.66 2.49 3.36 4.18 5.04 5.77

16B 8 0.830 1.66 2.49 3.32 4.15 5.03 5.88 0.830 1.66 2.47 3.35 4.15 5.03 5.91

16B 9 0.830 1.66 2.49 3.35 4.18 5.03 5.81 0.830 1.66 2.49 3.35 4.18 5.03 5.86

16B 10 0.830 1.66 2.52 3.35 4.18 5.03 5.88 0.830 1.66 2.49 3.37 4.18 5.03 5.86

15B 1

A — — — — — — — — — — — — — —

15B 2 0.855 1.71 2.61 3.44 4.31 5.20 6.09 0.855 1.71 2.63 3.46 4.31 5.20 6.10

15B 3 0.867 1.67 2.49 3.47 4.35 5.20 6.03 0.867 1.67 2.49 3.48 4.33 5.20 6.08

15B 4 0.879 1.73 2.64 3.47 4.35 5.23 6.13 0.879 1.73 2.64 3.47 4.35 5.23 6.13

15B 5 0.855 1.71 2.49 3.44 4.32 5.20 6.10 0.855 1.71 2.49 3.44 4.32 5.20 6.08

15B 6 0.855 1.71 2.52 3.44 4.30 5.20 6.08 0.879 1.71 2.52 3.44 4.32 5.20 6.08

15B 7 0.855 1.71 2.61 3.44 4.32 5.20 6.08 0.855 1.71 2.66 3.44 4.32 5.20 6.08

15B 8 0.879 1.71 2.61 3.47 4.32 5.20 6.15 0.879 1.73 2.66 3.47 4.32 5.20 6.13

15B 9 0.879 1.71 2.61 3.44 4.32 5.20 6.08 0.879 1.71 2.71 3.47 4.32 5.20 6.08

15B 10 0.879 1.73 2.61 3.47 4.35 5.20 6.10 0.879 1.73 2.61 3.47 4.35 5.20 6.10

20D 1

A — — — — — — — — — — — — — —

20D 2 0.806 1.59 2.42 3.17 3.96 4.81 5.59 0.806 1.59 2.39 3.17 4.05 4.81 5.59

20D 3 0.806 1.56 2.37 3.15 3.93 4.76 5.62 0.806 1.56 2.39 3.15 3.93 4.83 5.52

20D 4 0.806 1.59 2.37 3.17 3.93 4.81 5.62 0.806 1.59 2.37 3.15 3.91 4.81 5.57

20D 5 0.806 1.56 2.37 3.17 3.93 4.81 5.62 0.806 1.56 2.37 3.15 3.91 4.83 5.62

20D 6 0.806 1.59 2.37 3.17 3.93 4.81 5.59 0.806 1.59 2.37 3.22 4.05 4.81 5.59

20D 7 0.806 1.56 2.37 3.15 3.93 4.81 5.62 0.806 1.56 2.37 3.15 3.91 4.83 5.62

20D 8 0.806 1.56 2.37 3.15 3.93 4.81 5.62 0.806 1.56 2.34 3.20 3.91 4.83 5.64

20D 9 0.781 1.56 2.34 3.17 3.91 4.83 5.62 0.781 1.56 2.34 3.13 3.91 4.83 5.66

19D 1 0.830 1.61 2.44 3.27 4.03 4.96 5.74 0.830 1.61 2.42 3.27 4.15 4.96 5.74

19D 2 0.806 1.59 2.42 3.25 4.03 4.96 5.69 0.806 1.61 2.39 3.20 4.00 4.96 5.79

19D 3 0.860 1.61 2.44 3.25 4.03 4.96 5.74 0.830 1.61 2.44 3.27 4.15 4.96 5.74

19D 4 0.806 1.61 2.44 3.25 4.00 4.96 5.69 0.830 1.61 2.42 3.27 4.00 4.96 5.79

19D 5 0.830 1.64 2.47 3.27 4.13 4.96 5.76 0.830 1.64 2.44 3.27 4.15 4.96 5.81

19D 6 0.830 1.61 2.47 3.27 4.10 4.96 5.76 0.830 1.64 2.44 3.27 4.13 4.96 5.76

19D 7 0.830 1.61 2.47 3.25 4.10 4.96 5.71 0.830 1.61 2.44 3.27 4.15 4.93 5.74

19D 8 0.830 1.61 2.44 3.25 4.05 4.96 5.71 0.830 1.61 2.42 3.27 4.15 4.96 5.74

18D 1 0.855 1.66 2.52 3.37 4.20 5.15 5.98 0.855 1.66 2.49 3.35 4.15 5.15 5.88

18D 2 0.855 1.69 2.52 3.39 4.20 5.15 5.96 0.855 1.69 2.52 3.35 4.15 5.15 5.93

18D 3 0.855 1.69 2.52 3.37 4.20 5.15 5.96 0.855 1.69 2.52 3.35 4.13 5.15 5.88

18D 4 0.855 1.69 2.54 3.39 4.22 5.15 5.93 0.855 1.69 2.52 3.39 4.15 5.15 5.93

18D 5 0.855 1.69 2.51 3.37 4.18 5.13 5.88 0.855 1.69 2.52 3.35 4.15 5.13 5.88

18D 6 0.855 1.69 2.54 3.37 4.22 5.15 5.93 0.855 1.69 2.52 3.37 4.15 5.13 5.96

18D 7 0.855 1.69 2.54 3.39 4.22 5.15 5.96 0.855 1.69 2.54 3.39 4.27 5.15 5.96

18D 8 0.855 1.69 2.52 3.37 4.18 5.15 5.96 0.855 1.69 2.52 3.35 4.13 5.15 5.98

17D 1 0.879 1.76 2.64 3.54 4.40 5.35 6.25 0.879 1.76 2.64 3.54 4.42 5.35 6.25

17D 2 0.879 1.73 2.64 3.56 4.42 5.35 6.27 0.879 1.76 2.61 3.56 4.42 5.35 6.30

17D 3 0.879 1.76 2.64 3.54 4.42 5.35 6.27 0.879 1.76 2.64 3.54 4.44 5.35 6.27

17D 4 0.879 1.73 2.61 3.49 4.37 5.35 6.25 0.879 1.73 2.61 3.47 4.37 5.35 6.27

17D 5 0.879 1.76 2.66 3.54 4.40 5.35 6.25 0.879 1.76 2.64 3.54 4.44 5.35 6.27

17D 6 0.879 1.73 2.64 3.52 4.37 5.27 6.27 0.879 1.76 2.61 3.52 4.37 5.27 6.27

17D 7 0.879 1.73 2.61 3.49 4.37 5.27 6.25 0.879 1.73 2.61 3.54 4.37 5.27 6.27
52

Box 1 Box 2

Cable Run 1 2 3 4 5 6 7 1 2 3 4 5 6 7

17D 8 0.879 1.73 2.61 3.49 4.37 5.25 6.25 0.879 1.73 2.61 3.52 4.37 5.25 6.25

16D 1 0.928 1.83 2.77 3.70 4.71 5.68 6.86 0.928 1.83 2.77 3.66 4.71 5.69 6.95

16D 2 0.928 1.83 2.76 3.69 4.61 5.76 6.84 0.928 1.83 2.76 3.69 4.61 5.76 —

16D 3 0.952 1.86 2.83 3.76 4.71 5.71 6.71 0.952 1.86 2.76 3.66 4.69 5.71 6.71

16D 4 0.928 1.86 2.78 3.71 4.66 5.71 6.52 0.928 1.86 2.78 3.69 4.66 5.71 6.64

16D 5 0.952 1.86 2.81 3.76 4.69 5.69 6.67 0.952 1.86 2.78 3.71 4.69 5.69 6.67

16D 6 0.952 1.86 2.78 3.74 4.69 5.71 6.52 0.952 1.86 2.78 3.69 4.69 5.71 6.67

16D 7 0.952 1.88 2.81 3.76 4.71 5.71 6.54 0.952 1.88 2.81 3.71 4.71 5.71 6.71

16D 8

B — — — — — — — — — — — — — —

15D 1 1.00 1.95 3.00 3.94 4.92 5.98 6.97 0.989 1.95 2.94 3.87 4.91 5.99 7.02

15D 2 0.977 1.93 2.95 3.96 4.91 6.06 7.03 0.977 1.93 2.93 3.88 4.91 6.06 7.03

15D 3 0.977 1.95 2.95 3.93 4.91 6.01 6.79 0.977 1.95 2.93 3.88 4.91 6.01 6.86

15D 4 1.00 1.95 2.95 3.96 4.91 6.01 6.89 1.00 1.95 2.93 3.91 4.91 5.98 6.86

15D 5 1.00 1.95 2.98 3.98 4.93 6.01 6.93 1.00 1.95 2.98 3.96 4.93 6.01 6.98

15D 6 1.00 1.95 2.98 3.98 4.93 6.01 6.91 1.00 1.95 2.93 3.98 4.93 6.01 6.91

15D 7 1.00 1.95 3.00 3.98 4.93 5.98 6.98 1.00 1.95 2.98 3.98 4.93 5.98 7.01

15D 8 0.977 1.95 2.98 4.00 4.93 6.01 7.03 1.03 1.95 2.98 3.98 4.93 6.01 7.03

14D 1 1.04 2.05 3.11 4.14 5.19 6.45 7.47 1.04 2.05 3.04 4.08 5.19 6.45 7.50

14D 2 1.05 2.05 3.08 4.20 5.20 6.27 7.20 1.05 2.05 3.08 4.08 5.20 6.25 7.23

14D 3 1.05 2.08 3.10 4.20 5.20 6.35 7.25 1.05 2.08 3.10 4.10 5.23 6.35 7.30

14D 4 1.05 2.08 3.13 4.20 5.20 6.37 7.28 1.05 2.08 3.10 4.13 5.23 6.37 7.25

14D 5 1.05 2.08 3.10 4.13 5.13 6.25 7.25 1.05 2.08 3.10 4.10 5.23 6.25 7.50

14D 6 1.05 2.10 3.20 4.22 5.25 6.37 7.45 1.05 2.10 3.13 4.15 5.27 6.37 7.47

14D 7 1.08 2.10 3.17 4.22 5.23 6.40 7.45 1.08 2.12 3.15 4.22 5.37 6.40 7.47

14D 8 1.05 2.08 3.15 4.20 5.18 6.30 7.30 1.05 2.08 3.13 4.13 5.20 6.30 7.30

13D 1 1.07 2.12 3.22 4.35 5.40 6.59 7.72 1.07 2.12 3.27 4.42 5.40 6.59 7.72

13D 2 1.10 2.15 3.27 4.35 5.42 6.54 7.54 1.10 2.15 3.25 4.37 5.40 6.54 7.69

13D 3 1.10 2.20 3.30 4.30 5.44 6.59 7.59 1.10 2.20 3.32 4.37 5.44 6.62 7.69

13D 4 1.10 2.17 3.27 4.35 5.44 6.57 7.59 1.10 2.17 3.25 4.32 5.42 6.57 7.62

13D 5 1.10 2.17 3.30 4.40 5.44 6.57 7.59 1.10 2.17 3.32 4.35 5.42 6.57 7.67

13D 6 1.10 2.17 3.30 4.40 5.44 6.57 7.72 1.10 2.17 3.27 4.32 5.42 6.57 7.72

13D 7 1.10 2.17 3.30 4.35 5.44 6.57 7.59 1.10 2.17 3.25 4.35 5.44 6.57 7.67

13D 8 1.10 2.15 3.27 4.35 5.42 6.57 7.69 1.10 2.15 3.32 4.32 5.42 6.52 7.62

A Baseline run.

B Unreadable data.
53

Table 10. Phase 2 averaged mode frequencies (Hz).

Cable 1 2 3 4 5 6 7

20A 0.781 1.54 2.32 3.10 3.91 4.69 5.44

19A 0.830 1.64 2.47 3.30 4.13 4.98 5.79

18A 0.855 1.69 2.54 3.37 4.27 5.13 6.03

17A 0.903 1.78 2.71 3.59 4.52 5.42 6.42

16A 0.928 1.86 2.83 3.71 4.61 5.64 6.59

15A 0.977 1.95 2.93 3.91 4.86 5.88 6.84

14A 1.05 2.05 3.13 4.15 5.18 6.30 7.37

13A 1.07 2.15 3.22 4.30 5.37 6.54 7.57

12A 1.17 2.32 3.54 4.69 5.81 7.08 8.23

20C 0.732 1.47 2.22 2.95 3.69 4.40 5.18

19C 0.708 1.42 2.15 2.86 3.56 4.27 5.01

18C 0.757 1.49 2.27 3.00 3.78 4.52 5.27

17C 0.781 1.56 2.34 3.13 3.88 4.69 5.52

16C 0.830 1.66 2.49 3.32 4.15 4.98 5.86

15C 0.855 1.71 2.59 3.44 4.32 5.18 6.01

14C 0.928 1.83 2.73 3.66 4.57 5.49 6.47

20B 0.708 1.42 2.15 2.83 3.56 4.25 5.01

19B 0.720 1.43 2.17 2.87 3.63 4.32 5.02

18B 0.732 1.47 2.25 2.95 3.74 4.44 5.21

17B 0.781 1.56 2.37 3.15 3.96 4.74 5.49

16B 0.842 1.66 2.49 3.35 4.18 5.03 5.93

15B 0.879 1.71 2.61 3.44 4.32 5.20 6.08

20D 0.806 1.56 2.37 3.15 3.93 4.81 5.62

19D 0.830 1.61 2.44 3.27 4.13 4.96 5.74

18D 0.855 1.69 2.52 3.37 4.20 5.15 5.96

17D 0.879 1.76 2.61 3.54 4.37 5.35 6.27

16D 0.952 1.86 2.78 3.69 4.71 5.71 6.71

15D 1.00 1.95 2.98 3.98 4.93 6.01 7.03

14D 1.05 2.08 3.10 4.20 5.20 6.37 7.47

13D 1.10 2.17 3.27 4.35 5.44 6.57 7.72
54

Table 11. Phase 2 theoretical frequencies of the first mode (Hz).

Cable Frequency Cable Frequency Cable Frequency Cable Frequency

20A 0.761 20B 0.638 20C 0.637 20D 0.760

19A 0.796 19B 0.658 19C 0.657 19D 0.795

18A 0.848 18B 0.710 18C 0.710 18D 0.848

17A 0.880 17B 0.746 17C 0.745 17D 0.881

16A 0.939 16B 0.799 16C 0.799 16D 0.942

15A 0.984 15B 0.843 15C 0.843 15D 0.987

14A 1.052 14B 0.904 14C 0.904 14D 1.056

13A 1.099 13B 0.949 13C 0.949 13D 1.104

12A 1.189 12B 1.024 12C 1.025 12D 1.194

11A 1.244 11B 1.078 11C 1.079 11D 1.250

10A 1.361 10B 1.175 10C 1.176 10D 1.367

9A 1.434 9B 1.246 9C 1.246 9D 1.440

8A 1.567 8B 1.358 8C 1.360 8D 1.573

7A 1.687 7B 1.473 7C 1.475 7D 1.690

6A 1.880 6B 1.636 6C 1.638 6D 1.882

5A 2.025 5B 1.772 5C 1.773 5D 2.026

4A 2.332 4B 2.029 4C 2.030 4D 2.332

3A 2.531 3B 2.217 3C 2.216 3D 2.530

2A 3.017 2B 2.615 2C 2.611 2D 3.012

1A 3.326 1B 2.905 1C 2.894 1D 3.320
55

APPENDIX B. MODE FREQUENCY PLOTS

Figure 59. Graph. Comparison of first mode frequencies.

Figure 60. Graph. Comparison of second mode frequencies.
56

Figure 61. Graph. Comparison of third mode frequencies.

Figure 62. Graph. Comparison of fourth mode frequencies.
57

Figure 63. Graph. Comparison of fifth mode frequencies.

Figure 64. Graph. Comparison of sixth mode frequencies.
58

Figure 65. Graph. Comparison of seventh mode frequencies.
59

APPENDIX C. DAMPING RATIO TABLES

Table 12. Phase 1, box 1, first mode damping data.

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

20A 1

A — — — — — — — —

20A 2 0.63 0.85 25 250 0.230 0.9917 0.230 0.9917

20A 3 0.70 0.86 50 210 0.210 0.9961 0.210 0.9960

20A 4 0.71 0.86 50 200 0.282 0.9986 0.282 0.9986

20A 5 0.71 0.88 40 200 0.212 0.9914 0.211 0.9913

20A 6 0.71 0.88 30 200 0.225 0.9945 0.225 0.9945

20A 7 0.71 0.88 30 200 0.294 0.9956 0.294 0.9956

20A 8 0.71 0.88 30 150 0.228 0.9929 0.228 0.9928

19A 1

A — — — — — — — —

19A 2 0.67 0.95 20 120 0.227 0.9770 0.226 0.9773

19A 3 0.75 0.89 20 250 0.190 0.9969 0.191 0.9968

19A 4 0.60 1.00 50 200 0.203 0.9954 0.204 0.9955

19A 5 0.60 1.00 50 250 0.209 0.9975 0.209 0.9975

19A 6 0.60 1.00 50 250 0.182 0.9980 0.182 0.9980

19A 7 0.60 1.00 50 200 0.195 0.9964 0.195 0.9965

19A 8 0.70 0.95 30 180 0.204 0.9962 0.205 0.9962

19A 9 0.60 1.00 20 120 0.220 0.9910 0.219 0.9912

18A 1

A — — — — — — — —

18A 2 0.62 1.02 40 160 0.324 0.9975 0.323 0.9975

18A 3 0.62 1.02 40 160 0.295 0.9967 0.295 0.9967

18A 4 0.62 1.02 40 155 0.263 0.9884 0.261 0.9884

18A 5

B — — — — — — — —

18A 6 0.62 1.02 40 200 0.322 0.9954 0.321 0.9953

18A 7 0.62 1.02 50 200 0.355 0.9958 0.354 0.9957

18A 8 0.62 1.02 60 230 0.289 0.9996 0.289 0.9996

18A 9 0.62 1.02 50 230 0.279 0.9989 0.279 0.9989

18A 10 0.62 1.02 60 220 0.247 0.9995 0.247 0.9995

18A 11 0.62 1.02 60 170 0.248 0.9982 0.248 0.9982

18A 12 0.62 1.02 70 220 0.254 0.9981 0.255 0.9982

17A 1

A — — — — — — — —

17A 2 0.58 1.06 50 160 0.124 0.9643 0.124 0.9652

17A 3 0.72 1.02 30 230 0.125 0.9883 0.126 0.9882

17A 4

A — — — — — — — —

17A 5 0.62 1.02 75 180 0.085 0.9336 0.085 0.9368

17A 6 0.62 1.02 40 200 0.093 0.9852 0.094 0.9850

17A 7 0.62 1.02 40 140 0.106 0.8977 0.106 0.8989

17A 8 0.62 1.02 40 180 0.133 0.9910 0.133 0.9908

17A 9 0.74 1.02 25 230 0.152 0.9955 0.152 0.9954
60

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

16A 1

A — — — — — — — —

16A 2 0.78 1.06 30 180 0.191 0.9903 0.191 0.9904

16A 3 0.72 1.06 50 180 0.213 0.9948 0.213 0.9947

16A 4 0.78 1.06 35 150 0.279 0.9989 0.280 0.9990

16A 5 0.78 1.06 30 180 0.226 0.9937 0.226 0.9937

16A 6 0.78 1.06 50 200 0.214 0.9925 0.214 0.9926

16A 7 0.78 1.06 30 200 0.249 0.9979 0.249 0.9979

16A 8 0.78 1.06 30 180 0.247 0.9972 0.247 0.9972

15A 1

A — — — — — — — —

15A 2 0.76 1.12 55 250 0.198 0.9983 0.198 0.9983

15A 3 0.76 1.12 50 250 0.156 0.9928 0.156 0.9928

15A 4 0.76 1.12 60 250 0.201 0.9980 0.201 0.9980

15A 5 0.76 1.12 50 250 0.172 0.9985 0.172 0.9985

15A 6 0.76 1.12 40 230 0.206 0.9958 0.206 0.9958

15A 7 0.76 1.12 50 250 0.179 0.9979 0.179 0.9978

14A 1

A — — — — — — — —

14A 2 0.62 1.18 40 190 0.250 0.9912 0.251 0.9909

14A 3 0.62 1.18 40 180 0.251 0.9974 0.251 0.9975

14A 4 0.62 1.18 50 210 0.250 0.9987 0.250 0.9986

14A 5 0.62 1.18 50 200 0.246 0.9946 0.246 0.9948

14A 6 0.62 1.18 50 185 0.257 0.9995 0.257 0.9996

14A 7

B — — — — — — — —

14A 8 0.62 1.18 50 240 0.236 0.9990 0.236 0.9990

13A 1

A — — — — — — — —

13A 2 0.62 1.22 70 100 0.398 0.9970 0.395 0.9968

13A 3 0.62 1.22 45 100 0.375 0.9982 0.373 0.9982

13A 4 0.62 1.22 45 90 0.381 0.9973 0.378 0.9974

13A 5 0.72 1.22 65 130 0.381 0.9982 0.379 0.9981

13A 6 0.72 1.22 45 90 0.387 0.9972 0.384 0.9972

13A 7 0.72 1.22 45 110 0.396 0.9977 0.395 0.9977

12A 1

A — — — — — — — —

12A 2 0.76 1.32 55 120 0.507 0.9598 0.504 0.9604

12A 3

B — — — — — — — —

12A 4 0.76 1.32 90 180 0.203 0.9805 0.202 0.9802

12A 5 0.76 1.32 65 100 0.413 0.9941 0.417 0.9940

12A 6 0.76 1.32 65 110 0.407 0.9937 0.408 0.9936

12A 7 0.76 1.32 75 120 0.368 0.9984 0.369 0.9983

12A 8 0.76 1.32 80 160 0.420 0.9959 0.420 0.9958

12A 9 0.76 1.32 85 160 0.370 0.9905 0.368 0.9901

12A 10 0.76 1.32 55 95 0.396 0.9949 0.400 0.9944

20C 1

A — — — — — — — —
61

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

20C 2 0.62 0.82 85 290 0.124 0.9961 0.124 0.9961

20C 3 0.62 0.82 110 370 0.121 0.9973 0.121 0.9973

20C 4 0.62 0.82 85 330 0.156 0.9972 0.156 0.9972

20C 5 0.62 0.82 100 350 0.167 0.9951 0.167 0.9950

20C 6

B — — — — — — — —

20C 7 0.62 0.82 80 300 0.189 0.9990 0.189 0.9990

20C 8 0.62 0.82 80 250 0.143 0.9973 0.143 0.9973

19C 1

A — — — — — — — —

19C 2 0.56 0.86 110 350 0.119 0.9981 0.119 0.9981

19C 3 0.56 0.86 110 350 0.153 0.9997 0.153 0.9996

19C 4 0.56 0.86 85 250 0.150 0.9969 0.150 0.9969

19C 5 0.56 0.86 100 350 0.132 0.9976 0.132 0.9975

19C 6 0.56 0.86 75 450 0.115 0.9837 0.116 0.9934

18C 1

A — — — — — — — —

18C 2 0.58 0.88 80 220 0.099 0.9921 0.098 0.9924

18C 3 0.58 0.88 90 450 0.092 0.9950 0.092 0.9951

18C 4 0.58 0.88 100 260 0.112 0.9990 0.112 0.9991

18C 5 0.58 0.88 90 230 0.142 0.9987 0.142 0.9988

18C 6 0.58 0.88 110 320 0.084 0.9959 0.084 0.9960

17C 1

A — — — — — — — —

17C 2 0.62 0.88 90 250 0.128 0.9984 0.128 0.9984

17C 3 0.62 0.88 80 300 0.134 0.9994 0.134 0.9994

17C 4 0.62 0.88 80 250 0.139 0.9991 0.139 0.9991

17C 5 0.62 0.88 95 250 0.136 0.9993 0.136 0.9993

A Baseline run.

B Unreadable data.
62

Table 13. Phase 1, box 2, first mode damping data.

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

20A 1

A — — — — — — — —

20A 2 0.63 0.85 25 250 0.230 0.9911 0.230 0.9911

20A 3 0.70 0.90 50 210 0.210 0.9971 0.210 0.9970

20A 4 0.71 0.86 50 200 0.284 0.9988 0.285 0.9988

20A 5 0.71 0.88 40 200 0.213 0.9913 0.212 0.9911

20A 6 0.71 0.88 40 150 0.250 0.9988 0.250 0.9987

20A 7 0.71 0.88 30 200 0.297 0.9966 0.297 0.9966

20A 8 0.71 0.88 30 150 0.230 0.9937 0.230 0.9937

19A 1

A — — — — — — — —

19A 2 0.67 0.95 20 120 0.232 0.9784 0.232 0.9780

19A 3 0.75 0.89 20 250 0.194 0.9964 0.194 0.9964

19A 4 0.60 1.00 50 200 0.205 0.9954 0.205 0.9954

19A 5 0.60 1.00 50 250 0.208 0.9961 0.208 0.9961

19A 6 0.60 1.00 50 250 0.185 0.9980 0.185 0.9980

19A 7 0.60 1.00 50 200 0.198 0.9958 0.199 0.9958

19A 8 0.70 0.95 30 180 0.209 0.9958 0.210 0.9958

19A 9 0.60 1.00 20 120 0.225 0.9892 0.225 0.9895

18A 1

A — — — — — — — —

18A 2 0.62 1.02 40 160 0.334 0.9969 0.334 0.9969

18A 3 0.62 1.02 30 160 0.308 0.9967 0.308 0.9967

18A 4 0.62 1.02 30 155 0.280 0.9888 0.279 0.9889

18A 5

B — — — — — — — —

18A 6 0.62 1.02 40 200 0.326 0.9946 0.325 0.9945

18A 7 0.62 1.02 50 200 0.360 0.9944 0.359 0.9942

18A 8 0.62 1.02 60 230 0.293 0.9991 0.293 0.9991

18A 9 0.62 1.02 50 230 0.283 0.9989 0.283 0.9989

18A 10 0.62 1.02 60 220 0.253 0.9991 0.253 0.9991

18A 11 0.62 1.02 60 170 0.256 0.9983 0.256 0.9983

18A 12 0.62 1.02 70 220 0.263 0.9985 0.264 0.9986

17A 1

A — — — — — — — —

17A 2 0.58 1.06 50 160 0.122 0.9537 0.122 0.9550

17A 3

B — — — — — — — —

17A 4

A — — — — — — — —

17A 5 0.62 1.02 75 170 0.086 0.8311 0.088 0.8383

17A 6 0.62 1.02 40 200 0.095 0.9845 0.096 0.9844

17A 7 0.62 1.02 40 140 0.114 0.8809 0.115 0.8832

17A 8 0.62 1.02 30 160 0.150 0.9956 0.150 0.9955

17A 9 0.74 1.02 25 230 0.150 0.9947 0.149 0.9945

16A 1

A — — — — — — — —

16A 2 0.78 1.02 30 180 0.196 0.9908 0.196 0.9909
63

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

16A 3 0.72 1.06 50 180 0.218 0.9950 0.217 0.9949

16A 4 0.78 1.06 30 150 0.287 0.9987 0.287 0.9988

16A 5 0.78 1.06 30 180 0.231 0.9945 0.232 0.9945

16A 6 0.72 1.06 50 180 0.231 0.9959 0.231 0.9960

16A 7 0.78 1.06 20 160 0.263 0.9982 0.263 0.9982

16A 8 0.78 1.06 30 180 0.252 0.9974 0.251 0.9974

15A 1

A — — — — — — — —

15A 2 0.76 1.12 50 250 0.202 0.9983 0.202 0.9983

15A 3 0.76 1.12 50 250 0.160 0.9932 0.160 0.9933

15A 4 0.76 1.12 60 250 0.206 0.9982 0.206 0.9982

15A 5 0.76 1.12 40 250 0.180 0.9975 0.180 0.9975

15A 6 0.76 1.12 35 230 0.214 0.9949 0.213 0.9950

15A 7 0.76 1.12 45 250 0.185 0.9977 0.185 0.9977

14A 1

A — — — — — — — —

14A 2 0.62 1.18 35 190 0.252 0.9894 0.253 0.9890

14A 3 0.62 1.18 35 180 0.260 0.9966 0.260 0.9967

14A 4 0.62 1.18 50 210 0.256 0.9987 0.256 0.9987

14A 5 0.62 1.18 45 200 0.256 0.9938 0.256 0.9940

14A 6 0.62 1.18 50 185 0.264 0.9995 0.263 0.9995

14A 7

B — — — — — — — —

14A 8 0.62 1.18 50 240 0.240 0.9989 0.240 0.9989

13A 1

A — — — — — — — —

13A 2 0.62 1.22 70 100 0.408 0.9973 0.406 0.9971

13A 3 0.62 1.22 40 100 0.385 0.9979 0.384 0.9978

13A 4 0.62 1.22 40 90 0.393 0.9976 0.393 0.9976

13A 5 0.72 1.22 65 130 0.384 0.9982 0.383 0.9982

13A 6 0.72 1.22 40 100 0.380 0.9966 0.378 0.9966

13A 7 0.72 1.22 45 110 0.399 0.9979 0.399 0.9978

12A 1

A — — — — — — — —

12A 2 0.76 1.32 60 120 0.488 0.9431 0.483 0.9442

12A 3

B — — — — — — — —

12A 4 0.76 1.32 90 180 0.205 0.9795 0.204 0.9790

12A 5 0.76 1.32 60 120 0.356 0.9898 0.357 0.9897

12A 6 0.76 1.32 65 110 0.407 0.9928 0.410 0.9928

12A 7 0.76 1.32 75 120 0.363 0.9977 0.364 0.9976

12A 8 0.76 1.32 80 160 0.424 0.9954 0.423 0.9953

12A 9 0.76 1.32 85 120 0.351 0.9933 0.348 0.9925

12A 10 0.76 1.32 65 95 0.375 0.9949 0.377 0.9946

20C 1

A — — — — — — — —

20C 2 0.62 0.82 85 290 0.124 0.9966 0.124 0.9966

20C 3 0.62 0.82 110 370 0.121 0.9976 0.121 0.9976
64

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

20C 4 0.62 0.82 85 330 0.157 0.9974 0.157 0.9974

20C 5 0.62 0.82 100 350 0.168 0.9947 0.168 0.9947

20C 6 0.62 0.82 85 170 0.154 0.9932 0.153 0.9931

20C 7 0.62 0.82 80 300 0.189 0.9991 0.189 0.9990

20C 8 0.62 0.82 85 250 0.142 0.9977 0.142 0.9976

19C 1

A — — — — — — — —

19C 2 0.56 0.86 110 350 0.121 0.9982 0.121 0.9982

19C 3 0.56 0.86 110 350 0.155 0.9996 0.155 0.9996

19C 4 0.56 0.86 80 250 0.153 0.9969 0.153 0.9970

19C 5 0.56 0.86 85 350 0.138 0.9964 0.138 0.9963

19C 6 0.56 0.86 70 450 0.117 0.9977 0.117 0.9977

18C 1

A — — — — — — — —

18C 2 0.58 0.88 80 250 0.095 0.9911 0.094 0.9912

18C 3 0.58 0.88 80 450 0.095 0.9942 0.095 0.9941

18C 4 0.58 0.88 95 380 0.098 0.9914 0.098 0.9915

18C 5 0.58 0.88 85 250 0.138 0.9957 0.138 0.9958

18C 6 0.58 0.88 100 330 0.086 0.9955 0.086 0.9954

17C 1

A — — — — — — — —

17C 2 0.62 0.88 80 250 0.134 0.9980 0.134 0.9979

17C 3 0.62 0.88 70 300 0.139 0.9991 0.139 0.9991

17C 4 0.62 0.88 75 250 0.143 0.9990 0.143 0.9990

17C 5 0.62 0.88 90 250 0.140 0.9992 0.140 0.9991

A Baseline run.

B Unreadable data.
65

Table 14. Phase 1, box 1, second mode damping data.

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

20A 1

A — — — — — — — —

20A 2 1.41 1.70 30 150 0.176 0.9921 0.177 0.9920

20A 3 1.41 1.65 30 120 0.174 0.9927 0.174 0.9927

20A 4 1.41 1.65 30 120 0.181 0.9951 0.181 0.9952

20A 5 1.41 1.65 30 120 0.180 0.9873 0.180 0.9874

20A 6 1.41 1.65 40 150 0.167 0.9949 0.168 0.9950

20A 7 1.41 1.65 30 120 0.160 0.9851 0.160 0.9852

20A 8 1.41 1.65 20 140 0.164 0.9961 0.164 0.9962

19A 1

A — — — — — — — —

19A 2 1.40 1.82 30 120 0.154 0.9763 0.154 0.9760

19A 3 1.55 1.75 30 120 0.255 0.9908 0.256 0.9909

19A 4 1.40 1.85 40 140 0.141 0.9521 0.142 0.9522

19A 5 1.40 1.85 30 150 0.181 0.9838 0.180 0.9840

19A 6 1.45 1.80 50 150 0.230 0.9915 0.231 0.9916

19A 7 1.45 1.80 50 150 0.225 0.9923 0.225 0.9925

19A 8 1.45 1.80 20 100 0.238 0.9940 0.237 0.9940

19A 9 1.45 1.80 20 100 0.219 0.9936 0.220 0.9942

18A 1

A — — — — — — — —

18A 2 1.42 1.86 40 150 0.299 0.9972 0.298 0.9973

18A 3 1.42 1.86 30 120 0.279 0.9939 0.278 0.9939

18A 4 1.42 1.86 35 150 0.221 0.9919 0.222 0.9920

18A 5

B — — — — — — — —

18A 6 1.42 1.86 40 150 0.243 0.9932 0.243 0.9931

18A 7 1.32 1.86 50 150 0.228 0.9930 0.228 0.9930

18A 8 1.32 1.86 55 150 0.298 0.9963 0.298 0.9963

18A 9 1.32 1.86 50 130 0.301 0.9942 0.301 0.9943

18A 10 1.42 1.86 60 130 0.278 0.9970 0.277 0.9968

18A 11 1.32 1.86 55 120 0.254 0.9941 0.253 0.9941

18A 12 1.42 1.86 65 150 0.279 0.9945 0.278 0.9945

17A 1

A — — — — — — — —

17A 2 1.24 1.98 55 150 0.201 0.9946 0.202 0.9947

17A 3 1.58 1.92 40 150 0.186 0.9964 0.186 0.9964

17A 4

A — — — — — — — —

17A 5 1.38 1.92 75 200 0.106 0.9816 0.106 0.9817

17A 6 1.38 1.92 30 120 0.167 0.9873 0.167 0.9874

17A 7 1.38 1.98 35 150 0.163 0.9901 0.163 0.9902

17A 8 1.44 1.98 30 140 0.207 0.9919 0.207 0.9919

17A 9 1.58 1.92 20 130 0.207 0.9925 0.207 0.9924

16A 1

A — — — — — — — —

16A 2 1.66 1.92 25 80 0.263 0.9881 0.262 0.9879
66

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

16A 3 1.56 2.06 50 90 0.215 0.9893 0.215 0.9893

16A 4 1.66 1.98 30 80 0.372 0.9871 0.371 0.9875

16A 5 1.72 1.92 20 100 0.271 0.9939 0.272 0.9938

16A 6 1.52 2.06 45 160 0.256 0.9941 0.255 0.9942

16A 7 1.66 2.06 20 80 0.425 0.9887 0.423 0.9884

16A 8 1.66 1.98 20 80 0.378 0.9932 0.378 0.9932

15A 1

A — — — — — — — —

15A 2 1.76 2.18 50 100 0.361 0.9954 0.360 0.9957

15A 3 1.48 2.18 50 150 0.173 0.9924 0.173 0.9923

15A 4 1.48 2.18 50 100 0.377 0.9916 0.375 0.9915

15A 5 1.62 2.18 40 120 0.320 0.9944 0.320 0.9943

15A 6 1.62 2.18 30 90 0.414 0.9893 0.413 0.9891

15A 7 1.68 2.18 40 120 0.330 0.9936 0.331 0.9935

14A 1

A — — — — — — — —

14A 2 1.62 2.26 35 80 0.477 0.9986 0.478 0.9985

14A 3 1.62 2.26 35 100 0.377 0.9965 0.378 0.9965

14A 4 1.62 2.26 50 90 0.403 0.9993 0.404 0.9993

14A 5 1.62 2.26 45 90 0.409 0.9969 0.410 0.9969

14A 6 1.62 2.26 50 110 0.322 0.9951 0.323 0.9951

14A 7

B — — — — — — — —

14A 8 1.62 2.26 50 120 0.320 0.9976 0.321 0.9976

13A 1

A — — — — — — — —

13A 2 1.46 2.38 70 90 0.384 0.9955 0.383 0.9960

13A 3 1.62 2.28 40 70 0.534 0.9936 0.534 0.9936

13A 4 1.62 2.28 40 70 0.478 0.9929 0.481 0.9929

13A 5 1.62 2.38 60 90 0.559 0.9915 0.556 0.9915

13A 6 1.62 2.38 45 80 0.367 0.9923 0.370 0.9924

13A 7 1.62 2.28 45 75 0.503 0.9943 0.500 0.9944

12A 1

A — — — — — — — —

12A 2 1.66 2.52 65 80 0.504 0.9853 0.506 0.9865

12A 3 1.66 2.52 75 110 0.247 0.9783 0.248 0.9777

12A 4

B — — — — — — — —

12A 5 1.66 2.52 60 90 0.512 0.9956 0.514 0.9953

12A 6 1.86 2.52 65 95 0.454 0.9919 0.452 0.9923

12A 7 1.86 2.52 75 100 0.472 0.9920 0.469 0.9921

12A 8 1.66 2.52 80 105 0.561 0.9908 0.561 0.9906

12A 9 1.66 2.52 85 110 0.370 0.9727 0.370 0.9727

12A 10 1.66 2.52 65 95 0.463 0.9930 0.463 0.9931

20C 1

A — — — — — — — —

20C 2 1.26 1.58 80 180 0.158 0.9903 0.158 0.9901

20C 3 1.26 1.58 105 135 0.305 0.9980 0.306 0.9980
67

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

20C 4 1.26 1.58 80 120 0.299 0.9962 0.300 0.9967

20C 5 1.26 1.58 100 140 0.348 0.9978 0.349 0.9980

20C 6

B — — — — — — — —

20C 7 1.26 1.58 70 140 0.236 0.9937 0.236 0.9935

20C 8 1.26 1.58 80 160 0.183 0.9916 0.184 0.9916

19C 1

A — — — — — — — —

19C 2 1.22 1.62 110 200 0.181 0.9907 0.181 0.9907

19C 3 1.22 1.62 110 210 0.211 0.9961 0.210 0.9961

19C 4 1.22 1.62 80 210 0.170 0.9948 0.170 0.9948

19C 5 1.22 1.62 85 190 0.196 0.9930 0.196 0.9929

19C 6 1.16 1.62 70 170 0.210 0.9931 0.211 0.9933

18C 1

A — — — — — — — —

18C 2 1.22 1.66 70 130 0.339 0.9991 0.339 0.9991

18C 3 1.22 1.66 80 140 0.373 0.9998 0.373 0.9997

18C 4 1.22 1.66 90 150 0.358 0.9994 0.359 0.9995

18C 5 1.22 1.66 80 150 0.347 0.9998 0.347 0.9998

18C 6 1.22 1.66 100 160 0.333 0.9966 0.333 0.9967

17C 1

A — — — — — — — —

17C 2 1.32 1.68 80 200 0.247 0.9953 0.248 0.9953

17C 3 1.32 1.68 70 200 0.215 0.9937 0.214 0.9938

17C 4 1.32 1.68 70 200 0.244 0.9961 0.244 0.9961

17C 5 1.32 1.68 90 250 0.216 0.9966 0.215 0.9966

A Baseline run.

B Unreadable data.
68

Table 15. Phase 1, box 2, second mode damping data.

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

20A 1

A — — — — — — — —

20A 2 1.41 1.70 30 150 0.178 0.9919 0.178 0.9919

20A 3 1.41 1.65 30 120 0.175 0.9927 0.175 0.9928

20A 4 1.41 1.65 30 120 0.181 0.9945 0.181 0.9946

20A 5 1.41 1.65 30 120 0.184 0.9883 0.184 0.9884

20A 6 1.41 1.65 40 150 0.166 0.9955 0.166 0.9955

20A 7 1.41 1.65 30 120 0.160 0.9845 0.161 0.9846

20A 8 1.41 1.65 20 140 0.164 0.9961 0.164 0.9962

19A 1

A — — — — — — — —

19A 2 1.40 1.82 30 120 0.154 0.9755 0.154 0.9752

19A 3 1.55 1.75 30 120 0.261 0.9938 0.261 0.9939

19A 4 1.40 1.85 40 140 0.143 0.9611 0.143 0.9612

19A 5 1.40 1.85 30 150 0.180 0.9844 0.180 0.9846

19A 6 1.45 1.80 50 150 0.229 0.9925 0.229 0.9926

19A 7 1.45 1.80 50 150 0.225 0.9932 0.225 0.9934

19A 8 1.45 1.80 20 100 0.239 0.9964 0.238 0.9964

19A 9 1.45 1.80 20 100 0.224 0.9927 0.225 0.9932

18A 1

A — — — — — — — —

18A 2 1.42 1.86 40 150 0.300 0.9976 0.300 0.9976

18A 3 1.42 1.86 30 120 0.280 0.9952 0.279 0.9952

18A 4 1.42 1.86 35 150 0.230 0.9914 0.230 0.9915

18A 5

B — — — — — — — —

18A 6 1.42 1.86 40 150 0.247 0.9943 0.247 0.9942

18A 7 1.32 1.86 55 160 0.223 0.9952 0.223 0.9951

18A 8 1.32 1.86 55 160 0.291 0.9969 0.292 0.9968

18A 9 1.32 1.86 50 130 0.301 0.9950 0.300 0.9950

18A 10 1.42 1.86 60 130 0.280 0.9973 0.279 0.9971

18A 11 1.32 1.86 55 120 0.258 0.9949 0.258 0.9949

18A 12 1.42 1.86 65 150 0.280 0.9954 0.280 0.9955

17A 1

A — — — — — — — —

17A 2 1.24 1.98 50 150 0.204 0.9927 0.204 0.9929

17A 3

B — — — — — — — —

17A 4

A — — — — — — — —

17A 5 1.38 1.92 75 150 0.137 0.9873 0.137 0.9878

17A 6 1.38 1.92 35 120 0.161 0.9858 0.161 0.9861

17A 7 1.38 1.98 35 130 0.176 0.9924 0.176 0.9924

17A 8 1.44 1.98 30 140 0.208 0.9925 0.208 0.9925

17A 9 1.58 1.92 15 130 0.211 0.9918 0.211 0.9919

16A 1

A — — — — — — — —

16A 2 1.66 1.92 30 80 0.250 0.9878 0.249 0.9875
69

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

16A 3 1.56 2.06 45 90 0.231 0.9861 0.231 0.9861

16A 4 1.66 1.98 30 80 0.372 0.9839 0.371 0.9844

16A 5 1.72 1.92 20 100 0.274 0.9945 0.274 0.9944

16A 6 1.52 2.06 45 140 0.258 0.9919 0.259 0.9918

16A 7 1.66 2.06 20 80 0.429 0.9910 0.427 0.9907

16A 8 1.66 1.98 20 80 0.381 0.9927 0.382 0.9926

15A 1

A — — — — — — — —

15A 2 1.76 2.18 50 120 0.312 0.9898 0.312 0.9901

15A 3 1.48 2.18 50 150 0.172 0.9940 0.172 0.9940

15A 4 1.62 2.18 50 100 0.378 0.9912 0.380 0.9913

15A 5 1.62 2.18 40 120 0.319 0.9951 0.319 0.9950

15A 6 1.62 2.18 30 100 0.399 0.9891 0.399 0.9893

15A 7 1.68 2.18 40 120 0.327 0.9939 0.328 0.9937

14A 1

A — — — — — — — —

14A 2 1.62 2.26 35 80 0.481 0.9980 0.481 0.9979

14A 3 1.62 2.26 35 100 0.377 0.9967 0.378 0.9966

14A 4 1.62 2.26 50 90 0.400 0.9993 0.400 0.9992

14A 5 1.62 2.26 45 90 0.407 0.9965 0.408 0.9964

14A 6 1.62 2.26 50 110 0.321 0.9956 0.322 0.9956

14A 7

B — — — — — — — —

14A 8 1.62 2.26 50 120 0.318 0.9978 0.318 0.9977

13A 1

A — — — — — — — —

13A 2 1.46 2.38 70 90 0.381 0.9908 0.379 0.9909

13A 3 1.62 2.28 45 75 0.448 0.9935 0.449 0.9934

13A 4 1.62 2.28 40 70 0.469 0.9906 0.474 0.9902

13A 5 1.62 2.38 65 90 0.499 0.9918 0.499 0.9915

13A 6 1.62 2.28 45 80 0.371 0.9953 0.373 0.9953

13A 7 1.62 2.28 45 80 0.467 0.9930 0.466 0.9932

12A 1

A — — — — — — — —

12A 2 1.66 2.52 65 80 0.495 0.9770 0.497 0.9785

12A 3 1.66 2.52 75 110 0.247 0.9794 0.247 0.9787

12A 4

B — — — — — — — —

12A 5 1.66 2.52 60 90 0.510 0.9958 0.512 0.9955

12A 6 1.86 2.52 65 95 0.450 0.9919 0.448 0.9924

12A 7 1.86 2.52 75 100 0.463 0.9917 0.460 0.9917

12A 8 1.66 2.52 80 105 0.559 0.9900 0.558 0.9897

12A 9 1.66 2.52 85 110 0.374 0.9754 0.374 0.9754

12A 10 1.66 2.52 65 95 0.462 0.9940 0.461 0.9941

20C 1

A — — — — — — — —

20C 2 1.26 1.58 80 180 0.157 0.9913 0.158 0.9911

20C 3 1.26 1.58 105 135 0.307 0.9994 0.307 0.9993
70

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

20C 4 1.26 1.58 80 115 0.312 0.9978 0.311 0.9977

20C 5 1.26 1.58 100 140 0.354 0.9968 0.355 0.9971

20C 6 1.26 1.58 80 115 0.334 0.9984 0.333 0.9984

20C 7 1.26 1.58 70 140 0.237 0.9921 0.236 0.9920

20C 8 1.26 1.58 80 160 0.180 0.9904 0.181 0.9903

19C 1

A — — — — — — — —

19C 2 1.22 1.62 105 240 0.174 0.9957 0.175 0.9958

19C 3 1.22 1.62 110 240 0.194 0.9955 0.194 0.9955

19C 4 1.22 1.62 80 210 0.170 0.9951 0.170 0.9951

19C 5 1.16 1.62 85 210 0.186 0.9932 0.185 0.9933

19C 6 1.16 1.62 65 180 0.203 0.9927 0.203 0.9927

18C 1

A — — — — — — — —

18C 2 1.22 1.66 70 130 0.348 0.9985 0.348 0.9985

18C 3 1.22 1.66 80 140 0.387 0.9993 0.387 0.9993

18C 4 1.22 1.66 90 150 0.373 0.9995 0.374 0.9995

18C 5 1.22 1.66 80 150 0.358 0.9996 0.358 0.9996

18C 6 1.22 1.66 100 160 0.341 0.9978 0.340 0.9977

17C 1

A — — — — — — — —

17C 2 1.32 1.68 80 200 0.248 0.9947 0.248 0.9947

17C 3 1.32 1.68 70 200 0.215 0.9934 0.215 0.9934

17C 4 1.32 1.68 70 200 0.244 0.9956 0.245 0.9956

17C 5 1.32 1.68 90 250 0.217 0.9964 0.216 0.9965

A Baseline run.

B Unreadable data.
71

Table 16. Phase 1 summary of average damping values.

Cable 

Number Mode

Average 

Damping 

Value

(percent)

Max 

Damping 

ValueA

(percent)

Min 

Damping 

ValueA

(percent) Correlation

Average 

Length of 

Time 

Sample (s)

20A 1 0.242 0.258 0.227 0.9949 160.7

19A 1 0.205 0.212 0.199 0.9933 160.0

18A 1 0.292 0.305 0.278 0.9967 144.5

17A 1 0.118 0.129 0.107 0.9535 140.0

16A 1 0.235 0.249 0.222 0.9954 141.8

15A 1 0.188 0.198 0.178 0.9968 197.9

14A 1 0.252 0.256 0.247 0.9964 155.4

13A 1 0.389 0.394 0.384 0.9976 52.9

12A 1 0.378 0.414 0.343 0.9871 57.5

20C 1 0.151 0.162 0.139 0.9968 213.8

19C 1 0.135 0.145 0.126 0.9965 256.5

18C 1 0.104 0.116 0.092 0.9949 223.0

17C 1 0.137 0.140 0.134 0.9989 180.0

20A 2 0.172 0.176 0.168 0.9919 101.4

19A 2 0.206 0.224 0.188 0.9852 95.0

18A 2 0.269 0.280 0.257 0.9949 92.8

17A 2 0.179 0.195 0.164 0.9905 102.7

16A 2 0.313 0.350 0.275 0.9902 64.3

15A 2 0.323 0.366 0.281 0.9925 72.5

14A 2 0.384 0.415 0.353 0.9973 54.2

13A 2 0.455 0.491 0.419 0.9929 29.2

12A 2 0.447 0.489 0.404 0.9872 26.9

20C 2 0.262 0.300 0.224 0.9949 57.7

19C 2 0.190 0.199 0.180 0.9940 116.0

18C 2 0.356 0.366 0.345 0.9989 62.0

17C 2 0.231 0.242 0.219 0.9952 135.0

AMax and min values are for the 90 percent confidence interval on the mean.
72

Table 17. Phase 2, box 1, first mode damping data.

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

20A 1 0.40 1.00 92 115 1.46 0.9978 1.47 0.9975

20A 2 0.40 1.00 65 90 1.66 0.9968 1.67 0.9971

20A 3 0.40 1.00 54 80 1.52 0.9962 1.51 0.9966

20A 4 0.40 1.00 50 75 1.39 0.9979 1.40 0.9975

20A 5 0.40 1.00 51 75 1.51 0.9963 1.53 0.9962

20A 6 0.40 1.00 51 75 1.48 0.9960 1.50 0.9957

20A 7 0.40 1.00 55 80 1.53 0.9961 1.53 0.9964

20A 8 0.40 1.00 55 80 1.59 0.9955 1.62 0.9954

20A 9 0.40 1.00 51 75 1.39 0.9977 1.42 0.9976

20A 10 0.40 1.00 46 70 1.41 0.9975 1.39 0.9976

19A 1

A — — — — — — — —

19A 2 0.40 1.00 49 75 1.35 0.9985 1.35 0.9983

19A 3 0.40 1.00 52 80 1.33 0.9981 1.33 0.9976

19A 4 0.40 1.00 47 75 1.40 0.9980 1.40 0.9981

19A 5 0.40 1.00 317 340 1.33 0.9982 1.35 0.9984

19A 6 0.40 1.00 72 100 1.62 0.9964 1.63 0.9965

19A 7 0.40 1.00 64 100 1.47 0.9976 1.47 0.9975

19A 8 0.40 1.00 43 70 1.51 0.9969 1.51 0.9971

18A 1

A — — — — — — — —

18A 2 0.40 1.10 56 75 1.91 0.9919 1.89 0.9917

18A 3 0.40 1.10 58 80 1.88 0.9945 1.86 0.9932

18A 4 0.40 1.10 57 80 1.85 0.9931 1.81 0.9915

18A 5 0.40 1.10 68 90 1.70 0.9979 1.71 0.9984

18A 6 0.40 1.10 126 150 1.93 0.9967 1.92 0.9960

18A 7 0.40 1.10 78 100 1.94 0.9962 1.91 0.9960

18A 8 0.40 1.10 56 80 1.77 0.9925 1.79 0.9938

18A 9 0.40 1.10 63 85 1.78 0.9936 1.80 0.9935

17A 1

A — — — — — — — —

17A 2 0.40 1.10 63 95 1.57 0.9955 1.55 0.9953

17A 3 0.40 1.10 46 80 1.59 0.9962 1.57 0.9958

17A 4 0.40 1.10 50 90 1.57 0.9967 1.57 0.9968

17A 5 0.40 1.10 44 75 1.54 0.9965 1.56 0.9971

17A 6 0.40 1.10 44 75 1.50 0.9949 1.52 0.9951

17A 7 0.40 1.10 54 90 1.44 0.9954 1.43 0.9948

17A 8 0.40 1.10 103 135 1.51 0.9940 1.50 0.9939

17A 9 0.40 1.10 59 90 1.56 0.9973 1.55 0.9971

17A 10 0.40 1.10 81 110 1.49 0.9938 1.48 0.9935

16A 1

A — — — — — — — —

16A 2

A — — — — — — — —

16A 3 0.40 1.10 47 75 1.66 0.9987 1.67 0.9989
73

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

16A 4 0.40 1.10 36 65 1.69 0.9981 1.70 0.9982

16A 5 0.40 1.10 35 65 1.69 0.9971 1.68 0.9969

16A 6 0.40 1.10 30 60 1.70 0.9976 1.70 0.9973

16A 7 0.40 1.20 37 67 1.69 0.9973 1.70 0.9977

16A 8 0.40 1.10 47 77 1.67 0.9972 1.68 0.9974

16A 9 0.40 1.10 32 62 1.70 0.9974 1.71 0.9979

16A 10 0.40 1.10 34 65 1.66 0.9980 1.67 0.9982

16A 11 0.40 1.20 44 75 1.68 0.9980 1.69 0.9983

15A 1

A — — — — — — — —

15A 2 0.50 1.20 40 65 1.86 0.9974 1.87 0.9979

15A 3 0.50 1.20 35 60 1.88 0.9983 1.86 0.9981

15A 4 0.50 1.20 31 56 1.79 0.9954 1.77 0.9941

15A 5 0.50 1.20 35 60 1.89 0.9985 1.87 0.9981

15A 6 0.50 1.20 61 86 1.87 0.9979 1.85 0.9975

15A 7 0.50 1.20 36 61 1.85 0.9977 1.84 0.9973

15A 8 0.50 1.20 52 77 1.86 0.9980 1.84 0.9977

15A 9 0.50 1.20 36 61 1.79 0.9967 1.81 0.9974

15A 10 0.50 1.20 60 85 1.86 0.9978 1.84 0.9973

14A 1

A — — — — — — — —

14A 2 0.50 1.20 57 71 1.93 0.9947 1.98 0.9964

14A 3 0.50 1.30 29 55 1.83 0.9978 1.85 0.9979

14A 4 0.50 1.30 33 58 1.84 0.9985 1.82 0.9983

14A 5 0.50 1.30 30 55 1.78 0.9984 1.77 0.9982

14A 6 0.50 1.30 66 90 1.80 0.9987 1.79 0.9984

14A 7 0.50 1.30 32 57 1.85 0.9985 1.84 0.9984

14A 8 0.50 1.30 34 60 1.77 0.9982 1.78 0.9984

14A 9 0.50 1.30 29 54 1.79 0.9990 1.78 0.9989

14A 10 0.50 1.30 39 64 1.79 0.9985 1.78 0.9983

14A 11 0.50 1.30 30 55 1.78 0.9987 1.77 0.9987

13A 1

A — — — — — — — —

13A 2 0.50 1.30 74 97 1.78 0.9965 1.76 0.9960

13A 3 0.50 1.30 50 72 1.75 0.9975 1.77 0.9979

13A 4 0.50 1.30 37 60 1.78 0.9960 1.79 0.9970

13A 5 0.50 1.30 51 71 1.80 0.9965 1.78 0.9953

13A 6 0.50 1.30 54 75 1.79 0.9955 1.81 0.9966

13A 7 0.50 1.30 58 78 1.81 0.9954 1.79 0.9943

13A 8 0.50 1.30 51 67 1.82 0.9958 1.83 0.9963

13A 9 0.50 1.30 56 72 1.84 0.9966 1.81 0.9958

13A 10 0.50 1.30 50 66 1.80 0.9979 1.77 0.9973

13A 11 0.50 1.30 48 69 1.70 0.9956 1.73 0.9961

12A 1

A — — — — — — — —
74

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

12A 2 0.60 1.40 203 222 1.91 0.9964 1.94 0.9967

12A 3 0.60 1.40 41 60 1.93 0.9969 1.95 0.9971

12A 4 0.60 1.40 58 78 1.92 0.9971 1.90 0.9965

12A 5 0.60 1.40 39 59 1.94 0.9969 1.96 0.9970

12A 6 0.60 1.40 43 63 1.91 0.9958 1.93 0.9966

12A 7 0.60 1.40 49 64 1.91 0.9944 1.94 0.9955

12A 8 0.60 1.40 49 68 1.93 0.9963 1.91 0.9960

12A 9 0.60 1.40 50 70 1.97 0.9981 1.99 0.9984

12A 10 0.60 1.40 46 66 1.95 0.9984 1.96 0.9987

12A 11 0.60 1.40 63 82 1.92 0.9979 1.91 0.9973

20C 1

A — — — — — — — —

20C 2

B — — — — — — — —

20C 3

B — — — — — — — —

20C 4

B — — — — — — — —

20C 5 0.40 0.90 85 105 1.35 0.9988 1.37 0.9989

20C 6 0.40 0.90 74 98 1.34 0.9977 1.33 0.9974

20C 7 0.40 0.90 55 77 1.45 0.9975 1.45 0.9979

20C 8 0.40 0.90 55 80 1.39 0.9981 1.39 0.9985

20C 9 0.40 0.90 54 78 1.38 0.9972 1.38 0.9968

20C 10 0.40 0.90 64 85 1.45 0.9977 1.45 0.9978

20C 11 0.40 0.90 59 87 1.42 0.9969 1.44 0.9966

20C 12 0.40 0.90 52 75 1.33 0.9974 1.35 0.9980

20C 13 0.40 0.90 46 68 1.44 0.9981 1.42 0.9982

20C 14 0.40 0.90 58 80 1.35 0.9981 1.33 0.9979

19C 1

A — — — — — — — —

19C 2 0.40 0.90 132 185 1.50 0.9949 1.51 0.9949

19C 3 0.40 0.90 58 130 1.52 0.9973 1.52 0.9973

19C 4 0.40 0.90 58 95 1.59 0.9912 1.62 0.9914

19C 5 0.40 0.90 55 115 1.47 0.9933 1.48 0.9931

19C 6 0.40 0.90 64 92 1.44 0.9956 1.44 0.9950

19C 7 0.40 0.90 64 120 1.53 0.9943 1.54 0.9943

19C 8 0.40 0.90 62 90 1.36 0.9952 1.36 0.9946

19C 9 0.40 0.90 68 130 1.42 0.9935 1.42 0.9932

19C 10 0.40 0.90 96 125 1.41 0.9940 1.44 0.9937

18C 1

A — — — — — — — —

18C 2 0.40 0.90 154 185 1.75 0.9971 1.74 0.9969

18C 3 0.40 0.90 117 160 1.58 0.9948 1.57 0.9941

18C 4 0.40 0.90 42 80 1.65 0.9949 1.64 0.9947

18C 5 0.40 0.90 40 72 1.79 0.9943 1.77 0.9942

18C 6 0.40 0.90 51 95 1.62 0.9969 1.61 0.9965

18C 7 0.40 0.90 51 95 1.64 0.9971 1.63 0.9966
75

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

18C 8 0.40 0.90 56 95 1.65 0.9954 1.66 0.9959

18C 9 0.40 0.90 38 75 1.65 0.9945 1.66 0.9948

18C 10 0.40 0.90 43 80 1.63 0.9946 1.62 0.9939

17C 1

A — — — — — — — —

17C 2 0.40 1.00 128 163 1.71 0.9985 1.70 0.9978

17C 3 0.40 1.00 41 76 1.67 0.9970 1.66 0.9964

17C 4 0.40 1.00 38 75 1.61 0.9984 1.60 0.9982

17C 5 0.40 1.00 38 73 1.60 0.9960 1.61 0.9965

17C 6 0.40 1.00 39 74 1.68 0.9951 1.67 0.9944

17C 7 0.40 1.00 36 73 1.63 0.9947 1.64 0.9950

17C 8 0.40 1.00 38 73 1.66 0.9980 1.64 0.9978

17C 9 0.40 1.00 45 82 1.65 0.9964 1.64 0.9957

16C 1

A — — — — — — — —

16C 2 0.40 1.00 42 75 1.96 0.9943 1.98 0.9955

16C 3 0.40 1.00 59 90 1.96 0.9961 1.98 0.9967

16C 4 0.40 1.00 47 77 2.07 0.9961 2.06 0.9958

16C 5 0.40 1.00 42 70 2.00 0.9930 2.02 0.9939

16C 6 0.40 1.00 43 75 2.08 0.9950 2.11 0.9957

16C 7 0.40 1.10 52 78 2.03 0.9954 2.00 0.9946

16C 8 0.40 1.00 41 69 1.97 0.9959 1.95 0.9949

16C 9 0.40 1.00 45 73 1.99 0.9943 2.01 0.9952

16C 10 0.40 1.00 52 79 2.00 0.9967 1.98 0.9958

15C 1

A — — — — — — — —

15C 2 0.40 1.10 47 75 1.84 0.9984 1.82 0.9981

15C 3 0.40 1.10 45 73 1.76 0.9979 1.78 0.9980

15C 4 0.40 1.10 46 75 1.80 0.9968 1.80 0.9971

15C 5 0.40 1.10 66 95 1.76 0.9968 1.75 0.9970

15C 6 0.40 1.10 51 80 1.80 0.9969 1.82 0.9973

15C 7 0.40 1.10 52 85 1.82 0.9938 1.84 0.9943

15C 8 0.40 1.10 47 77 1.81 0.9969 1.80 0.9969

15C 9 0.40 1.10 41 70 1.79 0.9975 1.80 0.9975

15C 10 0.40 1.10 52 85 1.76 0.9945 1.75 0.9942

14C 1

A — — — — — — — —

14C 2 0.40 1.10 58 95 1.93 0.9962 1.94 0.9966

14C 3 0.40 1.10 55 90 2.10 0.9973 2.09 0.9972

14C 4 0.40 1.10 44 83 2.19 0.9975 2.20 0.9975

14C 5 0.40 1.10 48 80 1.99 0.9964 1.99 0.9964

14C 6 0.40 1.10 76 115 2.04 0.9967 2.03 0.9967

14C 7 0.40 1.10 47 83 2.04 0.9969 2.06 0.9975

14C 8 0.40 1.10 59 95 1.98 0.9973 1.99 0.9973

20B 1

A — — — — — — — —
76

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

20B 2 0.40 0.90 71 101 1.45 0.9975 1.45 0.9970

20B 3 0.40 0.90 49 80 1.30 0.9981 1.29 0.9982

20B 4 0.40 0.90 64 95 1.24 0.9984 1.24 0.9987

20B 5 0.40 0.90 50 80 1.34 0.9974 1.32 0.9975

20B 6 0.40 0.90 55 85 1.30 0.9976 1.30 0.9972

20B 7 0.40 0.90 48 78 1.32 0.9973 1.32 0.9977

20B 8 0.40 0.90 52 80 1.30 0.9979 1.32 0.9977

20B 9 0.40 0.90 54 85 1.36 0.9978 1.34 0.9980

20B 10 0.40 0.90 63 93 1.36 0.9971 1.37 0.9965

19B 1

A — — — — — — — —

19B 2 0.40 0.90 58 88 1.24 0.9987 1.24 0.9989

19B 3 0.40 0.90 52 82 1.21 0.9987 1.22 0.9985

19B 4 0.40 0.90 72 105 1.20 0.9989 1.21 0.9988

19B 5 0.40 0.90 64 95 1.19 0.9989 1.19 0.9987

19B 6 0.40 0.90 74 105 1.18 0.9986 1.19 0.9983

19B 7 0.40 0.90 59 90 1.20 0.9986 1.21 0.9984

19B 8 0.40 0.90 72 105 1.15 0.9987 1.16 0.9986

19B 9 0.40 0.90 67 100 1.20 0.9984 1.19 0.9985

19B 10 0.40 0.90 72 105 1.19 0.9984 1.18 0.9986

19B 11 0.40 0.90 52 85 1.17 0.9985 1.18 0.9983

18B 1

A — — — — — — — —

18B 2 0.40 0.90 58 83 1.62 0.9965 1.65 0.9968

18B 3 0.40 0.90 76 101 1.73 0.9966 1.76 0.9964

18B 4 0.40 0.90 58 83 1.67 0.9967 1.66 0.9969

18B 5 0.40 0.90 61 86 1.61 0.9972 1.64 0.9975

18B 6 0.40 0.90 51 90 1.75 0.9958 1.73 0.9953

18B 7 0.40 0.90 52 75 1.67 0.9974 1.67 0.9970

18B 8 0.40 0.90 58 78 1.77 0.9969 1.81 0.9970

18B 9 0.40 0.90 51 90 1.84 0.9982 1.83 0.9982

17B 1

A — — — — — — — —

17B 2 0.40 1.00 61 86 1.55 0.9975 1.53 0.9978

17B 3 0.40 1.00 51 76 1.49 0.9975 1.47 0.9977

17B 4 0.40 1.00 58 83 1.48 0.9977 1.50 0.9973

17B 5 0.40 1.00 51 76 1.48 0.9984 1.49 0.9982

17B 6 0.40 1.00 72 97 1.43 0.9990 1.41 0.9991

17B 7 0.40 1.00 53 78 1.48 0.9981 1.50 0.9980

17B 8 0.40 1.00 61 86 1.45 0.9981 1.43 0.9983

17B 9 0.40 1.00 56 79 1.42 0.9987 1.42 0.9985

17B 10 0.40 1.00 66 91 1.54 0.9960 1.52 0.9966

16B 1

A — — — — — — — —

16B 2 0.50 1.00 71 96 1.72 0.9984 1.72 0.9982
77

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

16B 3 0.50 1.00 61 86 1.63 0.9985 1.63 0.9984

16B 4 0.50 1.00 96 121 1.60 0.9991 1.58 0.9991

16B 5 0.50 1.00 86 111 1.69 0.9981 1.67 0.9982

16B 6 0.50 1.00 58 85 1.66 0.9981 1.66 0.9978

16B 7 0.50 1.00 79 104 1.69 0.9980 1.68 0.9982

16B 8 0.50 1.00 51 76 1.63 0.9988 1.64 0.9988

16B 9 0.50 1.00 54 80 1.66 0.9982 1.64 0.9984

16B 10 0.50 1.00 88 113 1.65 0.9981 1.63 0.9983

15B 1

A — — — — — — — —

15B 2 0.50 1.00 106 126 1.78 0.9975 1.78 0.9972

15B 3 0.50 1.00 81 101 1.73 0.9977 1.76 0.9976

15B 4 0.50 1.00 65 85 1.72 0.9976 1.72 0.9972

15B 5 0.50 1.00 83 103 1.74 0.9979 1.73 0.9982

15B 6 0.50 1.10 64 84 1.78 0.9983 1.79 0.9981

15B 7 0.50 1.10 57 77 1.71 0.9984 1.69 0.9985

15B 8 0.50 1.10 63 85 1.72 0.9980 1.72 0.9984

15B 9 0.50 1.10 67 87 1.63 0.9983 1.63 0.9986

15B 10 0.50 1.10 78 98 1.64 0.9985 1.64 0.9987

20D 1

A — — — — — — — —

20D 2 0.40 1.00 71 101 1.34 0.9981 1.35 0.9979

20D 3 0.40 1.00 51 76 1.30 0.9985 1.29 0.9986

20D 4 0.40 1.00 39 65 1.25 0.9985 1.24 0.9986

20D 5 0.40 1.00 42 67 1.27 0.9983 1.28 0.9982

20D 6 0.40 1.00 34 60 1.28 0.9990 1.29 0.9989

20D 7 0.40 1.00 39 65 1.23 0.9984 1.24 0.9984

20D 8 0.40 1.00 39 65 1.22 0.9985 1.23 0.9985

20D 9 0.40 1.00 35 65 1.24 0.9966 1.23 0.9968

19D 1 0.40 1.10 76 135 1.26 0.9986 1.25 0.9986

19D 2 0.40 1.10 48 100 1.26 0.9983 1.26 0.9984

19D 3 0.40 1.10 39 90 1.23 0.9988 1.22 0.9987

19D 4 0.40 1.10 39 85 1.29 0.9987 1.28 0.9984

19D 5 0.40 1.10 37 90 1.25 0.9989 1.24 0.9988

19D 6 0.40 1.10 41 90 1.24 0.9986 1.24 0.9987

19D 7 0.40 1.10 40 95 1.17 0.9983 1.17 0.9982

19D 8 0.40 1.10 29 80 1.23 0.9983 1.22 0.9982

18D 1 0.40 1.10 49 70 1.50 0.9977 1.52 0.9975

18D 2 0.40 1.10 46 66 1.54 0.9987 1.53 0.9987

18D 3 0.40 1.10 46 66 1.48 0.9989 1.48 0.9990

18D 4 0.40 1.10 36 60 1.44 0.9983 1.46 0.9985

18D 5 0.40 1.10 44 65 1.57 0.9971 1.59 0.9971

18D 6 0.40 1.10 36 56 1.49 0.9990 1.48 0.9991
78

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

18D 7 0.40 1.10 36 56 1.43 0.9977 1.45 0.9977

18D 8 0.40 1.10 48 70 1.52 0.9979 1.51 0.9981

17D 1 0.40 1.10 99 119 1.66 0.9985 1.68 0.9982

17D 2 0.40 1.10 56 76 1.67 0.9985 1.65 0.9986

17D 3 0.40 1.10 64 84 1.56 0.9985 1.58 0.9983

17D 4 0.40 1.10 49 70 1.59 0.9987 1.61 0.9984

17D 5 0.40 1.10 40 60 1.60 0.9996 1.59 0.9997

17D 6 0.40 1.10 44 64 1.66 0.9989 1.66 0.9991

17D 7 0.40 1.10 39 60 1.57 0.9984 1.56 0.9987

17D 8 0.40 1.10 49 70 1.66 0.9983 1.68 0.9978

16D 1 0.40 1.20 195 225 1.69 0.9975 1.70 0.9977

16D 2 0.50 1.20 54 85 1.63 0.9965 1.65 0.9972

16D 3 0.50 1.20 43 80 1.54 0.9977 1.54 0.9978

16D 4 0.50 1.20 50 85 1.57 0.9993 1.56 0.9992

16D 5 0.50 1.20 45 80 1.58 0.9994 1.58 0.9993

16D 6 0.50 1.20 50 85 1.55 0.9987 1.56 0.9988

16D 7 0.50 1.20 45 75 1.61 0.9994 1.62 0.9994

16D 8

B — — — — — — — —

15D 1 0.50 1.20 139 170 1.62 0.9991 1.62 0.9991

15D 2 0.50 1.20 53 85 1.62 0.9989 1.61 0.9987

15D 3 0.60 1.30 48 75 1.63 0.9995 1.62 0.9995

15D 4 0.50 1.20 36 75 1.52 0.9992 1.52 0.9991

15D 5 0.60 1.30 34 60 1.60 0.9998 1.60 0.9998

15D 6 0.50 1.20 32 60 1.68 0.9995 1.69 0.9995

15D 7 0.60 1.20 37 72 1.57 0.9988 1.56 0.9986

15D 8 0.60 1.20 32 65 1.62 0.9992 1.62 0.9992

14D 1 0.50 1.30 121 146 1.96 0.9994 1.95 0.9992

14D 2 0.50 1.30 49 75 1.83 0.9992 1.82 0.9992

14D 3 0.50 1.30 36 61 1.88 0.9997 1.88 0.9996

14D 4 0.50 1.30 32 57 1.83 0.9987 1.85 0.9990

14D 5 0.50 1.30 36 61 1.83 0.9982 1.84 0.9987

14D 6 0.60 1.30 39 65 1.83 0.9970 1.85 0.9975

14D 7 0.60 1.30 35 60 1.88 0.9987 1.89 0.9988

14D 8 0.60 1.30 40 65 1.93 0.9990 1.93 0.9989
79

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

13D 1 0.60 1.30 65 85 2.17 0.9995 2.17 0.9994

13D 2 0.60 1.30 35 55 2.07 0.9991 2.05 0.9990

13D 3 0.60 1.30 38 60 2.04 0.9978 2.02 0.9974

13D 4 0.60 1.30 70 90 2.11 0.9993 2.12 0.9995

13D 5 0.60 1.30 52 72 2.10 0.9988 2.12 0.9992

13D 6 0.60 1.30 52 72 2.01 0.9998 2.01 0.9998

13D 7 0.60 1.30 38 60 2.04 0.9996 2.02 0.9995

13D 8 0.60 1.30 40 60 2.10 0.9989 2.10 0.9989

A Baseline run.

B Unreadable data.
80

Table 18. Phase 2, box 2, first mode damping data.

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

20A 1 0.40 1.00 92 115 1.62 0.9962 1.63 0.9957

20A 2 0.40 1.00 64 84 1.70 0.9949 1.74 0.9946

20A 3 0.40 1.00 54 75 1.51 0.9971 1.51 0.9975

20A 4 0.40 1.00 50 75 1.48 0.9960 1.51 0.9959

20A 5 0.40 1.00 51 71 1.53 0.9976 1.52 0.9982

20A 6 0.40 1.00 51 71 1.47 0.9974 1.46 0.9979

20A 7 0.40 1.00 55 75 1.52 0.9978 1.51 0.9979

20A 8 0.40 1.00 55 75 1.57 0.9969 1.61 0.9967

20A 9 0.40 1.00 51 71 1.41 0.9984 1.41 0.9987

20A 10 0.40 1.00 46 66 1.41 0.9987 1.41 0.9984

19A 1

A — — — — — — — —

19A 2 0.40 1.00 49 74 1.41 0.9981 1.42 0.9978

19A 3 0.40 1.00 52 75 1.33 0.9989 1.33 0.9980

19A 4 0.40 1.00 47 72 1.45 0.9978 1.46 0.9976

19A 5 0.40 1.00 317 340 1.43 0.9977 1.46 0.9978

19A 6 0.40 1.00 72 92 1.61 0.9953 1.60 0.9960

19A 7 0.40 1.00 64 84 1.57 0.9968 1.57 0.9975

19A 8 0.40 1.00 43 63 1.52 0.9975 1.52 0.9978

18A 1

A — — — — — — — —

18A 2 0.50 1.10 56 75 2.61 0.9914 2.55 0.9908

18A 3 0.50 1.10 59 80 2.52 0.9930 2.47 0.9921

18A 4 0.50 1.10 57 77 2.58 0.9952 2.64 0.9964

18A 5 0.50 1.10 68 88 2.28 0.9954 2.26 0.9953

18A 6 0.50 1.10 126 141 2.16 0.9936 2.23 0.9934

18A 7 0.50 1.10 78 102 2.38 0.9932 2.36 0.9919

18A 8 0.50 1.10 56 78 2.48 0.9951 2.43 0.9940

18A 9 0.50 1.10 63 83 2.47 0.9926 2.42 0.9924

17A 1

A — — — — — — — —

17A 2 0.40 1.10 63 80 1.68 0.9977 1.70 0.9975

17A 3 0.40 1.10 46 66 1.74 0.9954 1.72 0.9960

17A 4 0.40 1.10 50 70 1.75 0.9962 1.72 0.9968

17A 5 0.40 1.10 44 60 1.71 0.9975 1.69 0.9982

17A 6 0.40 1.10 44 60 1.72 0.9968 1.71 0.9972

17A 7 0.40 1.10 54 74 1.71 0.9977 1.74 0.9974

17A 8 0.40 1.10 103 120 1.75 0.9985 1.76 0.9982

17A 9 0.40 1.10 59 77 1.72 0.9975 1.70 0.9977

17A 10 0.40 1.10 81 97 1.83 0.9983 1.84 0.9978

16A 1

A — — — — — — — —

16A 2

A — — — — — — — —

16A 3 0.40 1.10 47 67 1.94 0.9963 1.93 0.9970
81

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

16A 4 0.40 1.10 36 54 1.91 0.9977 1.95 0.9972

16A 5 0.40 1.10 35 53 1.99 0.9958 1.95 0.9965

16A 6 0.40 1.10 30 48 1.98 0.9965 2.02 0.9959

16A 7 0.40 1.20 37 55 1.99 0.9964 1.96 0.9966

16A 8 0.40 1.10 47 65 1.93 0.9974 1.92 0.9977

16A 9 0.40 1.10 32 52 1.92 0.9970 1.91 0.9973

16A 10 0.40 1.10 34 53 1.86 0.9977 1.89 0.9973

16A 11 0.40 1.20 44 62 1.89 0.9974 1.91 0.9971

15A 1

A — — — — — — — —

15A 2 0.50 1.20 40 56 2.13 0.9953 2.08 0.9960

15A 3 0.50 1.20 35 51 2.02 0.9970 2.06 0.9971

15A 4 0.50 1.20 31 44 2.07 0.9968 2.12 0.9966

15A 5 0.50 1.20 35 50 2.06 0.9978 2.07 0.9974

15A 6 0.50 1.20 61 76 2.03 0.9969 2.02 0.9972

15A 7 0.50 1.20 36 51 2.01 0.9979 2.05 0.9977

15A 8 0.50 1.20 52 67 2.03 0.9982 2.04 0.9978

15A 9 0.50 1.20 36 51 2.01 0.9978 2.01 0.9973

15A 10 0.50 1.20 60 75 2.00 0.9974 2.01 0.9972

14A 1

A — — — — — — — —

14A 2 0.50 1.30 58 70 3.10 0.9972 3.18 0.9978

14A 3 0.50 1.30 30 46 2.10 0.9982 2.13 0.9980

14A 4 0.50 1.30 33 48 2.08 0.9990 2.05 0.9988

14A 5 0.50 1.30 30 46 2.11 0.9978 2.08 0.9978

14A 6 0.50 1.30 66 82 2.10 0.9986 2.11 0.9985

14A 7 0.50 1.30 32 47 2.08 0.9990 2.08 0.9990

14A 8 0.50 1.30 34 50 2.02 0.9993 2.04 0.9992

14A 9 0.50 1.30 29 47 2.07 0.9989 2.06 0.9990

14A 10 0.50 1.30 39 57 2.09 0.9983 2.07 0.9987

14A 11 0.50 1.30 30 48 2.06 0.9984 2.04 0.9989

13A 1

A — — — — — — — —

13A 2 0.50 1.30 74 89 2.09 0.9981 2.10 0.9974

13A 3 0.50 1.30 50 65 2.07 0.9973 2.06 0.9977

13A 4 0.50 1.30 37 52 2.07 0.9975 2.04 0.9978

13A 5 0.50 1.30 51 64 2.15 0.9977 2.20 0.9964

13A 6 0.50 1.30 54 67 2.16 0.9977 2.12 0.9977

13A 7 0.50 1.30 58 70 2.04 0.9969 2.10 0.9975

13A 8 0.50 1.30 51 63 2.46 0.9979 2.52 0.9981

13A 9 0.50 1.30 56 68 2.46 0.9954 2.38 0.9959

13A 10 0.50 1.30 50 62 2.41 0.9959 2.33 0.9951

13A 11 0.50 1.30 49 62 2.14 0.9964 2.14 0.9970

12A 1

A — — — — — — — —
82

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

12A 2 0.60 1.40 204 215 2.35 0.9964 2.41 0.9964

12A 3 0.60 1.40 41 53 2.32 0.9981 2.36 0.9977

12A 4 0.60 1.40 58 70 2.27 0.9987 2.31 0.9984

12A 5 0.60 1.40 39 51 2.29 0.9982 2.30 0.9977

12A 6 0.60 1.40 43 55 2.34 0.9980 2.30 0.9983

12A 7 0.60 1.40 49 64 2.66 0.9966 2.68 0.9971

12A 8 0.60 1.40 49 61 2.37 0.9966 2.32 0.9973

12A 9 0.60 1.40 51 64 2.33 0.9980 2.32 0.9982

12A 10 0.60 1.40 46 59 2.19 0.9989 2.20 0.9983

12A 11 0.60 1.40 63 77 2.34 0.9973 2.33 0.9973

20C 1

A — — — — — — — —

20C 2

B — — — — — — — —

20C 3

B — — — — — — — —

20C 4

B — — — — — — — —

20C 5 0.40 0.90 85 105 1.39 0.9988 1.41 0.9990

20C 6 0.40 0.90 74 98 1.41 0.9970 1.40 0.9967

20C 7 0.40 0.90 55 77 1.51 0.9969 1.51 0.9976

20C 8 0.40 0.90 55 80 1.43 0.9980 1.43 0.9984

20C 9 0.40 0.90 54 78 1.40 0.9965 1.43 0.9971

20C 10 0.40 0.90 64 85 1.50 0.9979 1.51 0.9976

20C 11 0.40 0.90 59 87 1.48 0.9956 1.51 0.9949

20C 12 0.40 0.90 52 75 1.37 0.9970 1.40 0.9976

20C 13 0.40 0.90 46 68 1.49 0.9978 1.47 0.9979

20C 14 0.40 0.90 58 80 1.40 0.9977 1.37 0.9972

19C 1

A — — — — — — — —

19C 2 0.40 0.90 132 157 1.54 0.9966 1.57 0.9964

19C 3 0.40 0.90 58 83 1.39 0.9979 1.37 0.9982

19C 4 0.40 0.90 58 83 1.46 0.9960 1.43 0.9967

19C 5 0.40 0.90 55 80 1.34 0.9981 1.36 0.9981

19C 6 0.40 0.90 64 89 1.46 0.9967 1.44 0.9971

19C 7 0.40 0.90 64 89 1.35 0.9975 1.37 0.9972

19C 8 0.40 0.90 62 87 1.37 0.9970 1.35 0.9974

19C 9 0.40 0.90 68 93 1.46 0.9975 1.49 0.9971

19C 10 0.40 0.90 96 121 1.40 0.9957 1.43 0.9956

18C 1

A — — — — — — — —

18C 2 0.40 0.90 154 169 1.93 0.9972 1.93 0.9977

18C 3 0.40 0.90 117 137 1.69 0.9976 1.72 0.9975

18C 4 0.40 0.90 42 62 1.83 0.9964 1.82 0.9956

18C 5 0.40 0.90 40 57 1.99 0.9960 1.94 0.9971

18C 6 0.40 0.90 51 71 1.69 0.9980 1.71 0.9980

18C 7 0.40 0.90 52 72 1.70 0.9973 1.72 0.9973
83

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

18C 8 0.40 0.90 56 76 1.69 0.9980 1.66 0.9978

18C 9 0.40 0.90 38 58 1.81 0.9957 1.81 0.9961

18C 10 0.40 0.90 43 63 1.82 0.9961 1.81 0.9967

17C 1

A — — — — — — — —

17C 2 0.40 1.00 128 146 1.93 0.9966 1.93 0.9966

17C 3 0.40 1.00 41 61 1.83 0.9967 1.82 0.9971

17C 4 0.40 1.00 38 56 1.74 0.9975 1.74 0.9976

17C 5 0.40 1.00 38 55 1.76 0.9977 1.77 0.9972

17C 6 0.40 1.00 39 56 1.94 0.9968 1.93 0.9973

17C 7 0.40 1.00 36 54 1.76 0.9982 1.79 0.9981

17C 8 0.40 1.00 38 58 1.81 0.9976 1.84 0.9975

17C 9 0.40 1.00 45 63 1.79 0.9970 1.78 0.9978

16C 1

A — — — — — — — —

16C 2 0.40 1.00 42 60 2.17 0.9967 2.12 0.9972

16C 3 0.40 1.00 59 76 2.08 0.9970 2.08 0.9977

16C 4 0.40 1.00 47 63 2.23 0.9951 2.23 0.9959

16C 5 0.40 1.00 42 57 2.15 0.9980 2.16 0.9974

16C 6 0.40 1.00 43 58 2.21 0.9970 2.22 0.9976

16C 7 0.40 1.10 52 67 2.40 0.9946 2.41 0.9939

16C 8 0.40 1.00 41 56 2.17 0.9970 2.22 0.9970

16C 9 0.40 1.00 45 60 2.13 0.9985 2.14 0.9979

16C 10 0.40 1.00 52 67 2.21 0.9963 2.20 0.9968

15C 1

A — — — — — — — —

15C 2 0.40 1.10 47 64 1.95 0.9979 1.96 0.9973

15C 3 0.40 1.10 45 62 1.91 0.9965 1.96 0.9963

15C 4 0.40 1.10 46 63 1.98 0.9953 1.92 0.9952

15C 5 0.40 1.10 66 83 2.07 0.9963 2.07 0.9964

15C 6 0.40 1.10 51 68 1.99 0.9947 1.97 0.9954

15C 7 0.40 1.10 52 68 1.87 0.9958 1.93 0.9954

15C 8 0.40 1.10 47 65 1.95 0.9956 2.00 0.9954

15C 9 0.40 1.10 41 58 1.88 0.9964 1.93 0.9964

15C 10 0.40 1.10 52 69 2.00 0.9963 1.95 0.9964

14C 1

A — — — — — — — —

14C 2 0.40 1.10 58 75 2.04 0.9971 2.06 0.9964

14C 3 0.40 1.10 55 71 2.10 0.9973 2.09 0.9976

14C 4 0.40 1.10 44 60 2.00 0.9955 1.95 0.9963

14C 5 0.40 1.10 48 65 1.96 0.9970 1.97 0.9962

14C 6 0.40 1.10 76 92 2.00 0.9973 2.00 0.9979

14C 7 0.40 1.10 47 64 2.06 0.9975 2.07 0.9971

14C 8 0.40 1.10 59 76 1.94 0.9977 1.95 0.9968

20B 1

A — — — — — — — —
84

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

20B 2 0.60 0.90 71 101 1.58 0.9934 1.59 0.9935

20B 3 0.40 0.90 49 80 1.37 0.9969 1.35 0.9971

20B 4 0.40 0.90 64 95 1.29 0.9974 1.29 0.9980

20B 5 0.40 0.90 50 80 1.40 0.9963 1.38 0.9966

20B 6 0.40 0.90 55 85 1.36 0.9963 1.36 0.9956

20B 7 0.40 0.90 48 78 1.40 0.9954 1.39 0.9962

20B 8 0.40 0.90 52 80 1.37 0.9966 1.39 0.9965

20B 9 0.40 0.90 54 85 1.43 0.9961 1.40 0.9966

20B 10 0.40 0.90 63 93 1.44 0.9956 1.45 0.9942

19B 1

A — — — — — — — —

19B 2 0.40 0.90 58 88 1.29 0.9982 1.29 0.9984

19B 3 0.40 0.90 52 82 1.26 0.9987 1.26 0.9984

19B 4 0.40 0.90 72 105 1.24 0.9985 1.26 0.9983

19B 5 0.40 0.90 64 95 1.24 0.9984 1.24 0.9982

19B 6 0.40 0.90 74 105 1.23 0.9981 1.24 0.9976

19B 7 0.40 0.90 59 90 1.25 0.9982 1.25 0.9980

19B 8 0.40 0.90 72 105 1.18 0.9981 1.20 0.9980

19B 9 0.40 0.90 67 100 1.24 0.9981 1.23 0.9981

19B 10 0.40 0.90 72 105 1.24 0.9979 1.22 0.9981

19B 11 0.40 0.90 52 85 1.21 0.9982 1.21 0.9984

18B 1

A — — — — — — — —

18B 2 0.40 0.90 59 83 1.77 0.9955 1.80 0.9956

18B 3 0.40 0.90 76 96 1.67 0.9978 1.71 0.9975

18B 4 0.40 0.90 58 78 1.63 0.9980 1.62 0.9982

18B 5 0.40 0.90 61 84 1.63 0.9970 1.67 0.9972

18B 6 0.40 0.90 51 71 1.82 0.9965 1.82 0.9962

18B 7 0.40 0.90 52 72 1.69 0.9978 1.65 0.9977

18B 8 0.40 0.90 58 76 1.81 0.9972 1.86 0.9962

18B 9 0.40 0.90 51 71 1.81 0.9966 1.76 0.9970

17B 1

A — — — — — — — —

17B 2 0.40 1.00 61 86 1.62 0.9969 1.59 0.9971

17B 3 0.40 1.00 51 76 1.51 0.9967 1.51 0.9966

17B 4 0.40 1.00 58 83 1.56 0.9969 1.58 0.9965

17B 5 0.40 1.00 51 76 1.53 0.9976 1.55 0.9976

17B 6 0.40 1.00 72 97 1.48 0.9985 1.46 0.9988

17B 7 0.40 1.00 53 78 1.54 0.9974 1.56 0.9973

17B 8 0.40 1.00 61 86 1.50 0.9978 1.47 0.9979

17B 9 0.40 1.00 56 79 1.45 0.9986 1.46 0.9984

17B 10 0.40 1.00 66 91 1.62 0.9944 1.59 0.9952

16B 1

A — — — — — — — —

16B 2 0.50 1.00 71 96 1.85 0.9968 1.82 0.9970
85

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

16B 3 0.50 1.00 61 86 1.73 0.9973 1.73 0.9969

16B 4 0.50 1.00 96 121 1.65 0.9978 1.66 0.9984

16B 5 0.50 1.00 86 111 1.80 0.9965 1.79 0.9968

16B 6 0.50 1.00 58 85 1.79 0.9968 1.80 0.9961

16B 7 0.50 1.00 79 104 1.81 0.9962 1.78 0.9969

16B 8 0.50 1.00 51 76 1.71 0.9976 1.74 0.9979

16B 9 0.50 1.00 54 80 1.78 0.9962 1.75 0.9963

16B 10 0.50 1.00 88 113 1.76 0.9961 1.73 0.9968

15B 1

A — — — — — — — —

15B 2 0.50 1.10 106 126 1.93 0.9965 1.94 0.9958

15B 3 0.50 1.10 81 101 1.94 0.9956 1.93 0.9961

15B 4 0.50 1.10 65 85 1.90 0.9953 1.93 0.9949

15B 5 0.50 1.10 83 103 1.91 0.9964 1.90 0.9967

15B 6 0.50 1.10 64 84 1.96 0.9968 1.96 0.9965

15B 7 0.50 1.10 57 77 1.87 0.9968 1.84 0.9970

15B 8 0.50 1.10 63 85 1.85 0.9965 1.88 0.9963

15B 9 0.50 1.10 67 87 1.75 0.9974 1.75 0.9981

15B 10 0.50 1.10 78 98 1.76 0.9979 1.76 0.9980

20D 1

A — — — — — — — —

20D 2 0.40 1.00 71 96 1.35 0.9991 1.35 0.9987

20D 3 0.40 1.00 51 76 1.38 0.9988 1.37 0.9989

20D 4 0.40 1.00 39 65 1.33 0.9981 1.31 0.9984

20D 5 0.40 1.00 42 67 1.35 0.9978 1.35 0.9975

20D 6 0.40 1.00 34 60 1.35 0.9990 1.37 0.9987

20D 7 0.40 1.00 39 65 1.32 0.9986 1.33 0.9988

20D 8 0.40 1.00 39 65 1.30 0.9988 1.31 0.9988

20D 9 0.40 1.00 35 60 1.24 0.9980 1.24 0.9985

19D 1 0.40 1.10 76 106 1.32 0.9995 1.33 0.9993

19D 2 0.40 1.10 48 68 1.33 0.9999 1.33 0.9999

19D 3 0.40 1.10 39 70 1.29 0.9988 1.29 0.9984

19D 4 0.40 1.10 39 65 1.38 0.9979 1.37 0.9982

19D 5 0.40 1.10 37 67 1.32 0.9977 1.30 0.9980

19D 6 0.40 1.10 41 71 1.34 0.9983 1.35 0.9981

19D 7 0.40 1.10 40 70 1.24 0.9985 1.25 0.9985

19D 8 0.40 1.10 29 60 1.30 0.9979 1.30 0.9977

18D 1 0.40 1.10 49 69 1.57 0.9969 1.60 0.9971

18D 2 0.40 1.10 46 66 1.65 0.9975 1.65 0.9980

18D 3 0.40 1.10 46 66 1.61 0.9975 1.60 0.9979

18D 4 0.40 1.10 36 60 1.54 0.9972 1.57 0.9973

18D 5 0.40 1.10 44 64 1.68 0.9969 1.71 0.9964

18D 6 0.40 1.10 36 56 1.60 0.9984 1.58 0.9985
86

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

18D 7 0.40 1.10 36 56 1.51 0.9977 1.55 0.9976

18D 8 0.40 1.10 48 68 1.59 0.9983 1.57 0.9985

17D 1 0.40 1.10 99 119 1.82 0.9972 1.85 0.9968

17D 2 0.40 1.10 56 76 1.84 0.9975 1.82 0.9977

17D 3 0.40 1.10 64 84 1.71 0.9977 1.70 0.9978

17D 4 0.40 1.10 49 70 1.72 0.9978 1.75 0.9976

17D 5 0.40 1.10 40 60 1.73 0.9991 1.71 0.9995

17D 6 0.40 1.10 44 64 1.86 0.9975 1.85 0.9977

17D 7 0.40 1.10 39 60 1.72 0.9970 1.71 0.9975

17D 8 0.40 1.10 49 70 1.83 0.9974 1.86 0.9965

16D 1 0.50 1.20 195 215 1.98 0.9946 1.95 0.9961

16D 2 0.50 1.20 54 75 1.91 0.9939 1.89 0.9945

16D 3 0.50 1.20 43 65 1.74 0.9981 1.74 0.9981

16D 4 0.50 1.20 50 75 1.77 0.9968 1.79 0.9967

16D 5 0.50 1.20 45 70 1.67 0.9989 1.68 0.9985

16D 6 0.50 1.20 50 75 1.75 0.9971 1.72 0.9978

16D 7 0.50 1.20 45 70 1.79 0.9965 1.79 0.9966

16D 8

B — — — — — — — —

15D 1 0.50 1.20 139 159 1.77 0.9986 1.76 0.9987

15D 2 0.50 1.20 53 73 1.95 0.9981 1.93 0.9982

15D 3 0.60 1.30 48 68 1.87 0.9982 1.85 0.9983

15D 4 0.50 1.20 36 61 1.87 0.9987 1.88 0.9988

15D 5 0.60 1.30 34 54 1.79 0.9988 1.78 0.9989

15D 6 0.50 1.20 32 52 1.86 0.9984 1.88 0.9981

15D 7 0.60 1.20 37 57 1.78 0.9988 1.78 0.9987

15D 8 0.60 1.20 32 55 1.95 0.9978 1.97 0.9971

14D 1 0.50 1.30 121 136 2.27 0.9971 2.24 0.9973

14D 2 0.50 1.30 49 69 2.21 0.9970 2.20 0.9970

14D 3 0.50 1.30 36 56 2.14 0.9988 2.15 0.9980

14D 4 0.50 1.30 32 52 2.19 0.9976 2.21 0.9974

14D 5 0.50 1.30 36 54 2.22 0.9973 2.24 0.9966

14D 6 0.60 1.30 39 57 2.15 0.9975 2.18 0.9967

14D 7 0.60 1.30 35 53 2.12 0.9986 2.15 0.9980

14D 8 0.60 1.30 40 58 2.16 0.9965 2.15 0.9972
87

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

13D 1 0.60 1.30 65 80 2.46 0.9959 2.47 0.9953

13D 2 0.60 1.30 35 50 2.19 0.9990 2.18 0.9988

13D 3 0.60 1.30 38 53 2.32 0.9978 2.32 0.9980

13D 4 0.60 1.30 70 88 2.63 0.9959 2.59 0.9964

13D 5 0.60 1.30 52 67 2.36 0.9981 2.38 0.9978

13D 6 0.60 1.30 52 67 2.26 0.9990 2.26 0.9991

13D 7 0.60 1.30 38 55 2.27 0.9991 2.27 0.9987

13D 8 0.60 1.30 40 55 2.23 0.9992 2.26 0.9990

A Baseline run.

B Unreadable data.
88

Table 19. Phase 2, box 1, second mode damping data.

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

20A 1 1.10 1.80 91 106 1.62 0.9964 1.60 0.9971

20A 2 1.10 1.80 63 78 1.73 0.9867 1.69 0.9873

20A 3 1.20 1.90 45 70 1.17 0.9930 1.18 0.9933

20A 4 1.20 1.80 52 67 1.53 0.9939 1.52 0.9949

20A 5 1.20 1.80 51 66 1.77 0.9885 1.73 0.9897

20A 6 1.20 1.80 50 65 1.45 0.9975 1.46 0.9969

20A 7 1.20 1.80 51 75 1.50 0.9955 1.49 0.9953

20A 8 1.20 1.80 54 69 1.47 0.9922 1.45 0.9924

20A 9 1.20 1.80 52 67 1.24 0.9931 1.22 0.9937

20A 10 1.20 1.80 47 62 1.17 0.9905 1.15 0.9907

19A 1

A — — — — — — — —

19A 2 1.20 1.90 50 70 1.84 0.9969 1.84 0.9969

19A 3 1.20 1.90 53 70 1.77 0.9987 1.76 0.9986

19A 4 1.20 1.90 46 70 1.63 0.9991 1.63 0.9992

19A 5 1.20 1.90 316 340 1.70 0.9943 1.70 0.9943

19A 6 1.20 1.90 71 95 1.79 0.9941 1.78 0.9935

19A 7 1.20 1.90 62 80 1.77 0.9974 1.78 0.9973

19A 8 1.20 1.90 42 60 1.75 0.9969 1.75 0.9968

18A 1

A — — — — — — — —

18A 2 1.20 2.00 57 73 1.29 0.9975 1.28 0.9977

18A 3 1.20 2.00 60 75 1.43 0.9964 1.45 0.9972

18A 4 1.40 2.00 60 75 1.46 0.9966 1.47 0.9966

18A 5 1.30 2.00 68 88 1.62 0.9991 1.61 0.9990

18A 6 1.20 2.00 126 141 1.53 0.9969 1.52 0.9971

18A 7 1.20 2.00 78 95 1.62 0.9973 1.60 0.9971

18A 8 1.20 2.00 54 70 1.59 0.9986 1.60 0.9984

18A 9 1.20 2.00 63 80 1.57 0.9984 1.58 0.9985

17A 1

A — — — — — — — —

17A 2 1.30 2.00 64 80 1.75 0.9971 1.75 0.9968

17A 3 1.30 2.10 47 62 1.62 0.9988 1.62 0.9988

17A 4 1.20 2.20 49 65 1.84 0.9981 1.85 0.9980

17A 5 1.40 2.10 43 58 1.85 0.9988 1.85 0.9985

17A 6 1.40 2.10 44 59 1.67 0.9881 1.67 0.9881

17A 7 1.40 2.20 54 69 1.57 0.9946 1.60 0.9943

17A 8 1.60 2.10 102 117 1.59 0.9949 1.58 0.9948

17A 9 1.40 2.10 60 75 1.84 0.9912 1.83 0.9916

17A 10 1.50 2.00 78 93 1.67 0.9951 1.66 0.9952

16A 1

A — — — — — — — —

16A 2

A — — — — — — — —

16A 3 1.40 2.20 46 61 1.74 0.9968 1.73 0.9966
89

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

16A 4 1.40 2.10 36 51 1.86 0.9984 1.85 0.9984

16A 5 1.40 2.10 34 49 1.77 0.9968 1.76 0.9967

16A 6 1.50 2.20 30 45 1.67 0.9936 1.70 0.9934

16A 7 1.40 2.10 38 53 1.60 0.9911 1.57 0.9914

16A 8 1.50 2.10 38 60 1.13 0.9651 1.13 0.9627

16A 9 1.40 2.20 31 56 1.64 0.9873 1.65 0.9877

16A 10 1.50 2.10 35 50 1.57 0.9903 1.54 0.9910

16A 11 1.50 2.10 45 60 1.56 0.9843 1.52 0.9844

15A 1

A — — — — — — — —

15A 2 1.50 2.20 39 54 2.10 0.9983 2.11 0.9983

15A 3 1.50 2.20 35 50 2.17 0.9977 2.17 0.9980

15A 4 1.50 2.20 31 46 2.01 0.9980 2.00 0.9981

15A 5 1.50 2.20 35 50 2.22 0.9967 2.22 0.9967

15A 6 1.50 2.20 61 76 2.22 0.9973 2.23 0.9974

15A 7 1.50 2.20 36 51 2.70 0.9802 2.66 0.9884

15A 8 1.50 2.20 52 67 2.19 0.9979 2.20 0.9980

15A 9 1.50 2.20 37 52 2.15 0.9971 2.18 0.9973

15A 10 1.50 2.20 60 75 2.10 0.9985 2.11 0.9985

14A 1

A — — — — — — — —

14A 2 1.50 2.30 57 77 1.96 0.9970 1.95 0.9969

14A 3 1.60 2.40 30 36 2.40 0.9959 2.36 0.9949

14A 4 1.70 2.40 34 40 2.39 0.9924 2.47 0.9945

14A 5 1.70 2.40 33 53 1.64 0.9979 1.64 0.9977

14A 6 1.50 2.40 66 76 1.72 0.9954 1.76 0.9963

14A 7 1.50 2.40 33 41 1.92 0.9954 1.97 0.9944

14A 8 1.60 2.40 34 42 2.17 0.9933 2.14 0.9931

14A 9 1.60 2.40 33 45 1.46 0.9934 1.48 0.9934

14A 10 1.60 2.40 40 48 2.25 0.9936 2.17 0.9926

14A 11 1.60 2.40 32 42 2.00 0.9958 2.00 0.9957

13A 1

A — — — — — — — —

13A 2 1.80 2.50 76 82 2.54 0.9932 2.46 0.9925

13A 3 1.80 2.40 50 56 2.87 0.9984 2.86 0.9985

13A 4 1.80 2.50 37 43 2.69 0.9967 2.72 0.9970

13A 5 1.70 2.40 52 59 2.05 0.9907 2.13 0.9913

13A 6 1.70 2.40 54 61 2.25 0.9970 2.26 0.9965

13A 7 1.70 2.40 59 67 2.09 0.9969 2.13 0.9973

13A 8 1.60 2.40 52 60 2.13 0.9991 2.15 0.9992

13A 9 1.60 2.40 58 63 2.10 0.9992 2.11 0.9992

13A 10 1.70 2.40 51 59 2.14 0.9993 2.15 0.9993

13A 11 1.60 2.40 48 56 2.26 0.9957 2.23 0.9946

12A 1

A — — — — — — — —
90

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

12A 2 1.80 2.60 204 211 1.94 0.9953 1.92 0.9953

12A 3 1.80 2.60 40 46 2.48 0.9949 2.51 0.9957

12A 4 1.80 2.60 58 65 2.36 0.9948 2.41 0.9952

12A 5 1.80 2.60 39 45 2.72 0.9808 2.72 0.9808

12A 6 2.10 2.60 43 49 2.58 0.9828 2.52 0.9782

12A 7 2.10 2.60 48 52 3.64 0.9975 3.71 0.9987

12A 8 1.80 2.60 49 54 2.93 0.9967 2.88 0.9967

12A 9 1.80 2.60 51 56 2.90 0.9788 2.87 0.9741

12A 10 1.80 2.60 46 53 2.67 0.9938 2.67 0.9940

12A 11 1.80 2.60 63 68 2.85 0.9920 2.91 0.9932

20C 1

A — — — — — — — —

20C 2

B — — — — — — — —

20C 3

B — — — — — — — —

20C 4

B — — — — — — — —

20C 5 1.10 1.70 84 105 1.41 0.9990 1.40 0.9990

20C 6 1.10 1.70 74 90 1.48 0.9993 1.47 0.9995

20C 7 1.10 1.70 54 70 1.63 0.9967 1.60 0.9973

20C 8 1.10 1.70 55 70 1.57 0.9974 1.55 0.9975

20C 9 1.10 1.70 54 70 1.76 0.9984 1.76 0.9984

20C 10 1.10 1.70 64 80 1.83 0.9983 1.82 0.9983

20C 11 1.10 1.70 60 75 1.82 0.9945 1.80 0.9952

20C 12 1.10 1.70 53 70 1.69 0.9945 1.70 0.9948

20C 13 1.10 1.70 47 65 1.78 0.9967 1.78 0.9963

20C 14 1.10 1.70 58 75 1.56 0.9983 1.56 0.9983

19C 1

A — — — — — — — —

19C 2 1.10 1.70 130 150 1.33 0.9961 1.33 0.9958

19C 3 1.10 1.70 59 74 1.36 0.9894 1.39 0.9884

19C 4 1.10 1.70 58 73 1.60 0.9954 1.62 0.9949

19C 5 1.10 1.70 56 71 1.59 0.9917 1.60 0.9914

19C 6 1.10 1.70 63 78 1.60 0.9930 1.62 0.9926

19C 7 1.10 1.70 65 85 1.73 0.9915 1.72 0.9915

19C 8 1.10 1.70 63 78 1.66 0.9947 1.67 0.9949

19C 9 1.10 1.70 62 85 1.60 0.9852 1.58 0.9858

19C 10 1.10 1.70 96 111 1.70 0.9881 1.72 0.9869

18C 1

A — — — — — — — —

18C 2 1.20 1.70 154 170 1.74 0.9933 1.77 0.9925

18C 3 1.20 1.70 117 140 1.64 0.9981 1.63 0.9980

18C 4 1.20 1.70 43 65 1.78 0.9957 1.79 0.9959

18C 5 1.20 1.70 40 60 1.80 0.9904 1.78 0.9900

18C 6 1.20 1.70 51 71 1.53 0.9965 1.51 0.9966

18C 7 1.20 1.70 53 73 1.46 0.9984 1.46 0.9984
91

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

18C 8 1.20 1.70 57 77 1.58 0.9986 1.59 0.9986

18C 9 1.20 1.70 38 58 1.56 0.9950 1.57 0.9951

18C 10 1.20 1.70 43 63 1.61 0.9970 1.62 0.9972

17C 1

A — — — — — — — —

17C 2 1.20 1.80 127 142 2.09 0.9933 2.10 0.9932

17C 3 1.20 1.80 39 54 2.06 0.9973 2.06 0.9976

17C 4 1.20 1.80 38 55 1.88 0.9980 1.86 0.9983

17C 5 1.20 1.80 38 55 2.14 0.9968 2.13 0.9968

17C 6 1.30 1.80 40 55 1.93 0.9954 1.96 0.9950

17C 7 1.30 1.80 37 57 2.06 0.9971 2.06 0.9970

17C 8 1.30 1.80 39 54 2.09 0.9952 2.09 0.9952

17C 9 1.30 1.80 46 65 2.00 0.9954 2.00 0.9949

16C 1

A — — — — — — — —

16C 2 1.20 1.90 43 60 2.03 0.9979 2.01 0.9981

16C 3 1.20 1.90 60 75 2.03 0.9936 2.00 0.9933

16C 4 1.20 1.90 48 65 2.00 0.9967 2.00 0.9966

16C 5 1.20 1.90 42 57 2.19 0.9979 2.16 0.9970

16C 6 1.20 1.90 44 58 2.52 0.9950 2.50 0.9947

16C 7 1.20 1.90 52 67 2.21 0.9974 2.21 0.9971

16C 8 1.20 1.90 40 53 2.25 0.9938 2.24 0.9942

16C 9 1.30 1.90 46 65 1.79 0.9819 1.83 0.9847

16C 10 1.20 1.90 52 67 2.09 0.9953 2.08 0.9961

15C 1

A — — — — — — — —

15C 2 1.20 2.00 47 62 2.10 0.9965 2.09 0.9962

15C 3 1.20 2.00 46 61 2.32 0.9977 2.31 0.9979

15C 4 1.40 2.00 46 61 2.30 0.9968 2.30 0.9971

15C 5 1.20 2.00 67 82 2.29 0.9938 2.33 0.9949

15C 6 1.40 2.00 52 67 2.53 0.9935 2.55 0.9930

15C 7 1.40 2.00 53 66 2.30 0.9967 2.27 0.9951

15C 8 1.40 2.00 48 61 2.44 0.9947 2.47 0.9953

15C 9 1.40 2.00 42 58 2.33 0.9958 2.34 0.9962

15C 10 1.40 2.00 53 63 2.51 0.9930 2.49 0.9925

14C 1

A — — — — — — — —

14C 2 1.40 2.10 59 79 1.91 0.9948 1.93 0.9955

14C 3 1.40 2.10 57 67 2.04 0.9963 2.02 0.9964

14C 4 1.40 2.10 44 64 1.92 0.9958 1.93 0.9963

14C 5 1.40 2.10 49 64 2.15 0.9931 2.15 0.9936

14C 6 1.40 2.10 78 95 1.85 0.9901 1.83 0.9903

14C 7 1.40 2.10 48 63 2.12 0.9951 2.15 0.9946

14C 8 1.60 2.10 60 75 1.76 0.9948 1.73 0.9967

20B 1

A — — — — — — — —
92

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

20B 2 1.10 1.60 71 91 1.32 0.9970 1.34 0.9966

20B 3 1.10 1.60 50 75 1.47 0.9985 1.46 0.9984

20B 4 1.10 1.60 66 91 1.67 0.9986 1.67 0.9986

20B 5 1.10 1.60 51 81 1.60 0.9980 1.59 0.9975

20B 6 1.10 1.60 56 81 1.46 0.9995 1.47 0.9994

20B 7 1.10 1.60 48 68 1.44 0.9972 1.43 0.9974

20B 8 1.10 1.60 54 84 1.67 0.9986 1.67 0.9984

20B 9 1.10 1.60 55 80 1.61 0.9997 1.61 0.9997

20B 10 1.10 1.60 64 89 1.40 0.9993 1.40 0.9994

19B 1

A — — — — — — — —

19B 2 1.10 1.60 58 88 1.34 0.9973 1.34 0.9974

19B 3 1.20 1.70 53 83 1.20 0.9975 1.20 0.9976

19B 4 1.20 1.70 74 99 1.21 0.9940 1.22 0.9935

19B 5 1.20 1.70 65 95 1.38 0.9988 1.38 0.9988

19B 6 1.20 1.70 76 101 1.34 0.9983 1.34 0.9982

19B 7 1.20 1.70 61 86 1.46 0.9973 1.45 0.9969

19B 8 1.20 1.70 74 99 1.39 0.9968 1.40 0.9973

19B 9 1.20 1.70 69 89 1.52 0.9979 1.52 0.9979

19B 10 1.10 1.70 73 98 1.46 0.9946 1.47 0.9952

19B 11 1.10 1.70 53 73 1.39 0.9983 1.38 0.9982

18B 1

A — — — — — — — —

18B 2 1.20 1.70 59 74 2.22 0.9984 2.21 0.9985

18B 3 1.20 1.70 78 93 2.40 0.9955 2.38 0.9955

18B 4 1.20 1.70 58 70 2.39 0.9970 2.38 0.9968

18B 5 1.30 1.70 63 85 2.21 0.9950 2.18 0.9934

18B 6 1.20 1.70 51 66 2.10 0.9930 2.15 0.9933

18B 7 1.20 1.70 52 72 2.25 0.9977 2.27 0.9972

18B 8 1.10 1.70 57 77 2.25 0.9988 2.25 0.9987

18B 9 1.10 1.70 52 67 2.17 0.9972 2.18 0.9967

17B 1

A — — — — — — — —

17B 2 1.20 1.80 62 82 1.96 0.9982 1.95 0.9982

17B 3 1.20 1.80 49 74 1.60 0.9966 1.61 0.9969

17B 4 1.20 1.80 59 79 2.04 0.9987 2.05 0.9986

17B 5 1.20 1.80 52 77 1.55 0.9913 1.54 0.9913

17B 6 1.20 1.80 73 93 1.62 0.9956 1.62 0.9960

17B 7 1.30 1.80 52 72 1.69 0.9956 1.67 0.9956

17B 8 1.30 1.80 62 92 1.51 0.9953 1.50 0.9950

17B 9 1.30 1.80 54 74 1.36 0.9956 1.35 0.9957

17B 10 1.20 1.80 66 91 1.81 0.9988 1.81 0.9987

16B 1

A — — — — — — — —

16B 2 1.40 1.90 70 85 2.21 0.9991 2.21 0.9992
93

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

16B 3 1.30 1.90 61 74 2.16 0.9989 2.16 0.9990

16B 4 1.30 1.90 97 117 1.97 0.9988 1.96 0.9986

16B 5 1.20 1.90 86 101 2.00 0.9957 2.00 0.9956

16B 6 1.20 1.90 55 73 1.96 0.9977 1.96 0.9979

16B 7 1.30 1.90 79 99 1.99 0.9985 2.00 0.9987

16B 8 1.30 1.90 52 70 2.08 0.9986 2.07 0.9986

16B 9 1.30 1.90 55 73 2.02 0.9991 2.01 0.9991

16B 10 1.30 1.90 88 103 1.96 0.9991 1.95 0.9994

15B 1

A — — — — — — — —

15B 2 1.40 1.90 107 127 2.06 0.9960 2.05 0.9961

15B 3 1.30 1.90 80 93 1.96 0.9904 1.92 0.9917

15B 4 1.30 1.90 66 85 2.18 0.9940 2.17 0.9934

15B 5 1.30 2.10 82 102 1.94 0.9951 1.95 0.9954

15B 6 1.40 1.90 65 85 2.05 0.9915 2.04 0.9907

15B 7 1.40 2.00 57 77 2.08 0.9912 2.06 0.9903

15B 8 1.40 1.90 65 76 2.17 0.9846 2.24 0.9822

15B 9 1.40 1.90 69 84 2.14 0.9945 2.15 0.9946

15B 10 1.40 2.00 79 99 1.87 0.9952 1.86 0.9945

20D 1

A — — — — — — — —

20D 2 1.20 1.90 71 86 1.60 0.9990 1.61 0.9989

20D 3 1.20 1.80 52 77 1.80 0.9996 1.80 0.9996

20D 4 1.20 1.80 39 64 1.67 0.9994 1.68 0.9994

20D 5 1.20 1.80 43 58 1.71 0.9983 1.70 0.9984

20D 6 1.20 1.80 34 54 1.71 0.9972 1.72 0.9970

20D 7 1.20 1.80 40 60 1.79 0.9982 1.79 0.9982

20D 8 1.20 1.80 40 65 1.77 0.9992 1.76 0.9993

20D 9 1.20 1.80 36 53 1.76 0.9978 1.75 0.9978

19D 1 1.20 1.90 76 96 1.61 0.9955 1.62 0.9956

19D 2 1.10 1.90 48 68 1.52 0.9994 1.52 0.9994

19D 3 1.20 1.90 40 60 1.52 0.9985 1.51 0.9986

19D 4 1.20 1.90 40 65 1.54 0.9982 1.54 0.9982

19D 5 1.30 1.90 38 58 1.48 0.9928 1.45 0.9944

19D 6 1.30 1.90 40 65 1.47 0.9951 1.47 0.9947

19D 7 1.20 1.90 39 59 1.61 0.9983 1.61 0.9985

19D 8 1.20 1.90 30 55 1.66 0.9989 1.65 0.9991

18D 1 1.20 2.00 50 70 1.72 0.9995 1.72 0.9995

18D 2 1.20 2.00 47 73 1.67 0.9967 1.67 0.9966

18D 3 1.20 2.00 45 65 1.67 0.9996 1.67 0.9996

18D 4 1.20 2.00 37 57 1.68 0.9989 1.68 0.9988

18D 5 1.20 2.00 44 64 1.62 0.9981 1.62 0.9981

18D 6 1.20 2.00 37 53 1.52 0.9955 1.50 0.9947
94

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

18D 7 1.30 2.00 37 57 1.58 0.9987 1.59 0.9987

18D 8 1.20 2.00 48 68 1.68 0.9995 1.68 0.9995

17D 1 1.20 2.00 100 115 1.77 0.9981 1.76 0.9983

17D 2 1.30 2.00 56 71 1.84 0.9990 1.86 0.9984

17D 3 1.30 2.00 64 79 2.08 0.9944 2.05 0.9952

17D 4 1.30 2.00 50 65 1.82 0.9968 1.81 0.9967

17D 5 1.30 2.00 41 53 2.07 0.9985 2.09 0.9987

17D 6 1.40 2.10 44 59 2.18 0.9972 2.20 0.9967

17D 7 1.40 2.10 39 54 2.14 0.9902 2.13 0.9902

17D 8 1.40 2.10 50 63 2.21 0.9954 2.22 0.9951

16D 1 1.40 2.10 195 203 1.98 0.9969 1.98 0.9969

16D 2 1.40 2.20 54 64 1.87 0.9985 1.88 0.9986

16D 3 1.40 2.20 43 58 1.95 0.9968 1.95 0.9968

16D 4 1.40 2.20 51 61 1.95 0.9983 1.96 0.9987

16D 5 1.40 2.20 45 58 2.11 0.9969 2.10 0.9969

16D 6 1.40 2.20 49 64 2.00 0.9963 2.01 0.9964

16D 7 1.40 2.20 45 58 2.02 0.9986 2.02 0.9986

16D 8

B — — — — — — — —

15D 1 1.40 2.20 139 152 2.04 0.9967 2.06 0.9967

15D 2 1.40 2.20 53 68 1.68 0.9981 1.67 0.9981

15D 3 1.40 2.20 47 60 2.19 0.9981 2.19 0.9982

15D 4 1.40 2.20 37 50 2.01 0.9972 2.01 0.9975

15D 5 1.40 2.20 32 47 2.33 0.9886 2.34 0.9887

15D 6 1.40 2.20 31 42 2.07 0.9912 2.04 0.9923

15D 7 1.40 2.30 36 48 1.90 0.9950 1.92 0.9961

15D 8 1.40 2.30 31 41 2.05 0.9930 2.07 0.9938

14D 1 1.60 2.40 121 132 2.70 0.9948 2.70 0.9952

14D 2 1.60 2.40 50 63 2.41 0.9960 2.38 0.9945

14D 3 1.60 2.40 37 47 2.07 0.9959 2.05 0.9956

14D 4 1.60 2.40 33 45 1.98 0.9941 1.99 0.9941

14D 5 1.60 2.40 36 46 2.05 0.9956 2.07 0.9943

14D 6 1.60 2.40 39 50 1.61 0.9930 1.57 0.9934

14D 7 1.80 2.40 32 48 1.51 0.9787 1.50 0.9773

14D 8 1.70 2.40 41 53 2.29 0.9921 2.35 0.9883
95

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

13D 1 1.60 2.40 66 77 2.17 0.9895 2.13 0.9883

13D 2 1.70 2.50 35 45 2.17 0.9856 2.14 0.9848

13D 3 1.60 2.50 37 45 3.02 0.9940 3.02 0.9948

13D 4 1.60 2.50 69 80 2.67 0.9919 2.70 0.9914

13D 5 1.70 2.50 52 59 3.34 0.9967 3.33 0.9962

13D 6 1.70 2.50 52 60 2.52 0.9899 2.53 0.9897

13D 7 1.70 2.50 39 48 2.33 0.9833 2.31 0.9826

13D 8 1.70 2.50 41 51 2.32 0.9921 2.35 0.9923

A Baseline run.

B Unreadable data.
96

Table 20. Phase 2, box 2, second mode damping data.

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

20A 1 1.10 1.80 91 106 1.67 0.9985 1.66 0.9988

20A 2 1.10 1.90 64 76 1.77 0.9962 1.75 0.9971

20A 3 1.20 1.90 45 70 1.24 0.9944 1.25 0.9944

20A 4 1.20 1.90 52 67 1.59 0.9954 1.58 0.9955

20A 5 1.20 1.90 51 66 1.74 0.9951 1.76 0.9936

20A 6 1.20 1.90 50 65 1.58 0.9982 1.59 0.9978

20A 7 1.20 1.90 51 75 1.66 0.9927 1.66 0.9921

20A 8 1.20 1.90 54 69 1.56 0.9956 1.57 0.9956

20A 9 1.20 1.90 52 67 1.35 0.9970 1.34 0.9968

20A 10 1.20 1.90 47 62 1.31 0.9941 1.29 0.9956

19A 1

A — — — — — — — —

19A 2 1.20 1.90 50 67 1.73 0.9953 1.72 0.9949

19A 3 1.20 1.90 53 70 1.63 0.9983 1.62 0.9984

19A 4 1.20 1.90 46 70 1.76 0.9959 1.76 0.9910

19A 5 1.20 1.90 316 334 1.47 0.9966 1.47 0.9964

19A 6 1.20 1.90 71 86 1.77 0.9955 1.79 0.9956

19A 7 1.20 1.90 62 80 1.76 0.9973 1.75 0.9975

19A 8 1.20 1.90 42 60 1.67 0.9984 1.68 0.9982

18A 1

A — — — — — — — —

18A 2 1.20 2.00 57 73 1.74 0.9965 1.75 0.9966

18A 3 1.20 2.00 60 75 1.91 0.9993 1.91 0.9993

18A 4 1.20 2.00 60 75 1.93 0.9982 1.94 0.9984

18A 5 1.20 2.00 68 88 1.85 0.9981 1.86 0.9983

18A 6 1.20 2.00 126 141 1.77 0.9979 1.78 0.9981

18A 7 1.20 2.00 78 95 1.86 0.9942 1.86 0.9941

18A 8 1.20 2.00 54 69 1.81 0.9987 1.82 0.9987

18A 9 1.20 2.00 63 78 1.91 0.9956 1.96 0.9919

17A 1

A — — — — — — — —

17A 2 1.30 2.00 64 77 2.07 0.9984 2.05 0.9991

17A 3 1.30 2.10 47 60 1.93 0.9953 1.94 0.9951

17A 4 1.20 2.20 49 62 1.92 0.9977 1.94 0.9977

17A 5 1.40 2.10 43 58 2.08 0.9954 2.07 0.9956

17A 6 1.40 2.10 44 59 2.01 0.9929 2.01 0.9936

17A 7 1.40 2.20 54 69 1.90 0.9935 1.89 0.9925

17A 8 1.60 2.10 102 117 1.82 0.9940 1.86 0.9929

17A 9 1.40 2.10 60 71 2.04 0.9904 2.08 0.9903

17A 10 1.50 2.00 78 93 1.98 0.9979 1.97 0.9977

16A 1

A — — — — — — — —

16A 2

A — — — — — — — —

16A 3 1.40 2.20 46 61 1.79 0.9974 1.79 0.9973
97

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

16A 4 1.40 2.10 36 51 1.94 0.9986 1.93 0.9989

16A 5 1.40 2.10 34 49 1.76 0.9973 1.76 0.9973

16A 6 1.50 2.20 30 45 1.79 0.9932 1.83 0.9908

16A 7 1.40 2.10 38 53 1.71 0.9952 1.69 0.9956

16A 8 1.50 2.10 38 60 1.17 0.9794 1.17 0.9779

16A 9 1.40 2.20 31 51 1.58 0.9910 1.59 0.9900

16A 10 1.50 2.10 35 50 1.61 0.9961 1.59 0.9969

16A 11 1.50 2.10 45 60 1.57 0.9940 1.54 0.9951

15A 1

A — — — — — — — —

15A 2 1.50 2.20 39 54 2.17 0.9984 2.16 0.9984

15A 3 1.50 2.20 35 48 2.24 0.9965 2.22 0.9974

15A 4 1.50 2.20 31 46 2.16 0.9982 2.16 0.9983

15A 5 1.50 2.20 35 48 2.32 0.9974 2.30 0.9976

15A 6 1.50 2.20 61 74 2.34 0.9980 2.32 0.9980

15A 7 1.50 2.20 36 48 2.32 0.9927 2.36 0.9912

15A 8 1.50 2.20 52 65 2.38 0.9977 2.37 0.9978

15A 9 1.50 2.20 37 52 2.46 0.9988 2.46 0.9988

15A 10 1.50 2.20 60 75 2.36 0.9979 2.35 0.9980

14A 1

A — — — — — — — —

14A 2 1.50 2.30 57 70 2.31 0.9934 2.33 0.9928

14A 3 1.60 2.40 30 45 1.79 0.9986 1.79 0.9987

14A 4 1.70 2.40 34 47 1.75 0.9974 1.76 0.9973

14A 5 1.70 2.40 33 53 1.80 0.9944 1.83 0.9902

14A 6 1.50 2.40 66 84 1.80 0.9994 1.80 0.9994

14A 7 1.50 2.40 33 48 1.88 0.9947 1.88 0.9952

14A 8 1.60 2.40 34 49 1.98 0.9978 1.96 0.9982

14A 9 1.60 2.40 33 46 1.99 0.9985 1.99 0.9986

14A 10 1.60 2.40 40 52 1.90 0.9985 1.90 0.9984

14A 11 1.60 2.40 32 43 1.85 0.9991 1.85 0.9989

13A 1

A — — — — — — — —

13A 2 1.80 2.50 76 82 2.60 0.9983 2.59 0.9982

13A 3 1.80 2.40 50 56 2.58 0.9982 2.58 0.9981

13A 4 1.80 2.50 37 43 2.56 0.9964 2.45 0.9944

13A 5 1.70 2.40 52 59 2.29 0.9948 2.35 0.9960

13A 6 1.70 2.40 54 61 2.39 0.9978 2.40 0.9981

13A 7 1.70 2.40 59 67 2.17 0.9978 2.17 0.9978

13A 8 1.60 2.40 52 60 2.25 0.9983 2.26 0.9986

13A 9 1.60 2.40 58 64 2.06 0.9962 2.04 0.9958

13A 10 1.70 2.40 51 59 2.28 0.9965 2.25 0.9961

13A 11 1.60 2.40 48 56 2.52 0.9980 2.50 0.9976

12A 1

A — — — — — — — —
98

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

12A 2 1.80 2.60 204 211 2.10 0.9982 2.09 0.9983

12A 3 1.80 2.60 40 46 2.68 0.9953 2.71 0.9961

12A 4 1.80 2.60 58 65 2.49 0.9953 2.53 0.9956

12A 5 1.80 2.60 39 45 2.47 0.9874 2.48 0.9851

12A 6 2.10 2.60 43 49 2.57 0.9949 2.55 0.9931

12A 7 2.10 2.60 48 60 1.56 0.9877 1.52 0.9880

12A 8 1.80 2.60 49 59 1.72 0.9933 1.75 0.9928

12A 9 1.80 2.60 51 61 2.17 0.9910 2.11 0.9891

12A 10 1.80 2.60 46 56 1.95 0.9975 1.97 0.9976

12A 11 1.80 2.60 63 73 1.75 0.9940 1.72 0.9939

20C 1

A — — — — — — — —

20C 2

B — — — — — — — —

20C 3

B — — — — — — — —

20C 4

B — — — — — — — —

20C 5 1.10 1.70 84 105 1.59 0.9983 1.59 0.9983

20C 6 1.10 1.70 74 90 1.61 0.9987 1.60 0.9989

20C 7 1.10 1.70 54 70 1.73 0.9977 1.71 0.9984

20C 8 1.10 1.70 55 70 1.74 0.9984 1.72 0.9988

20C 9 1.10 1.70 54 70 1.89 0.9992 1.88 0.9992

20C 10 1.10 1.70 64 80 1.92 0.9985 1.92 0.9983

20C 11 1.10 1.70 60 75 1.85 0.9956 1.83 0.9965

20C 12 1.10 1.70 53 70 1.77 0.9971 1.78 0.9972

20C 13 1.10 1.70 47 65 1.90 0.9960 1.90 0.9957

20C 14 1.10 1.70 58 75 1.67 0.9996 1.66 0.9995

19C 1

A — — — — — — — —

19C 2 1.10 1.70 130 150 1.62 0.9986 1.61 0.9987

19C 3 1.10 1.70 59 74 1.65 0.9941 1.68 0.9927

19C 4 1.10 1.70 58 73 1.81 0.9959 1.82 0.9957

19C 5 1.10 1.70 56 71 1.83 0.9963 1.85 0.9960

19C 6 1.10 1.70 63 78 1.83 0.9946 1.85 0.9946

19C 7 1.10 1.70 65 78 1.66 0.9927 1.68 0.9927

19C 8 1.10 1.70 63 78 1.91 0.9950 1.92 0.9953

19C 9 1.10 1.70 62 77 1.56 0.9965 1.56 0.9972

19C 10 1.10 1.70 96 111 1.82 0.9944 1.85 0.9930

18C 1

A — — — — — — — —

18C 2 1.20 1.80 154 170 1.89 0.9939 1.92 0.9919

18C 3 1.20 1.80 117 140 1.81 0.9944 1.80 0.9941

18C 4 1.20 1.80 43 65 1.96 0.9918 1.95 0.9921

18C 5 1.20 1.80 40 60 2.01 0.9912 2.01 0.9910

18C 6 1.20 1.80 51 71 1.61 0.9963 1.60 0.9966

18C 7 1.20 1.80 53 73 1.66 0.9864 1.72 0.9808
99

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

18C 8 1.20 1.80 57 77 1.67 0.9986 1.68 0.9984

18C 9 1.20 1.80 38 58 1.73 0.9935 1.74 0.9934

18C 10 1.20 1.80 43 63 1.76 0.9966 1.77 0.9965

17C 1

A — — — — — — — —

17C 2 1.20 1.80 127 137 2.09 0.9934 2.11 0.9941

17C 3 1.20 1.80 39 54 2.23 0.9992 2.23 0.9993

17C 4 1.20 1.80 38 55 2.05 0.9980 2.03 0.9983

17C 5 1.20 1.80 38 53 2.27 0.9970 2.29 0.9967

17C 6 1.20 1.80 40 55 2.19 0.9981 2.19 0.9979

17C 7 1.20 1.80 37 52 2.12 0.9991 2.13 0.9983

17C 8 1.20 1.80 39 54 2.26 0.9942 2.27 0.9947

17C 9 1.20 1.80 46 61 2.13 0.9936 2.18 0.9909

16C 1

A — — — — — — — —

16C 2 1.20 1.90 43 60 2.25 0.9973 2.24 0.9972

16C 3 1.20 1.90 60 73 2.43 0.9979 2.45 0.9982

16C 4 1.20 1.90 48 63 2.32 0.9978 2.30 0.9978

16C 5 1.20 1.90 42 57 2.40 0.9982 2.37 0.9978

16C 6 1.20 1.90 44 58 2.67 0.9983 2.64 0.9982

16C 7 1.20 1.90 52 65 2.48 0.9962 2.46 0.9964

16C 8 1.20 1.90 40 53 2.31 0.9958 2.32 0.9960

16C 9 1.30 1.90 46 65 2.20 0.9748 2.26 0.9730

16C 10 1.20 1.90 52 67 2.31 0.9982 2.34 0.9979

15C 1

A — — — — — — — —

15C 2 1.20 2.00 47 62 2.04 0.9976 2.04 0.9977

15C 3 1.20 2.00 46 61 2.18 0.9981 2.19 0.9981

15C 4 1.40 2.00 46 61 2.16 0.9978 2.18 0.9982

15C 5 1.40 2.00 67 82 2.22 0.9983 2.20 0.9982

15C 6 1.40 2.00 52 67 2.33 0.9966 2.36 0.9967

15C 7 1.40 2.00 53 66 2.12 0.9989 2.10 0.9982

15C 8 1.40 2.00 48 61 2.21 0.9986 2.22 0.9987

15C 9 1.40 2.00 42 58 2.24 0.9982 2.23 0.9979

15C 10 1.40 2.00 53 63 2.23 0.9978 2.24 0.9980

14C 1

A — — — — — — — —

14C 2 1.40 2.10 59 79 2.03 0.9951 2.04 0.9954

14C 3 1.40 2.10 57 67 2.02 0.9986 2.00 0.9987

14C 4 1.40 2.10 44 64 1.89 0.9979 1.90 0.9985

14C 5 1.40 2.10 49 64 2.06 0.9981 2.06 0.9982

14C 6 1.40 2.10 78 95 1.73 0.9909 1.75 0.9918

14C 7 1.40 2.10 48 63 2.12 0.9964 2.12 0.9968

14C 8 1.40 2.10 60 73 1.75 0.9963 1.73 0.9976

20B 1

A — — — — — — — —
100

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

20B 2 1.30 1.60 71 91 1.62 0.9506 1.59 0.9460

20B 3 1.10 1.60 50 75 1.64 0.9981 1.63 0.9979

20B 4 1.10 1.60 66 84 1.74 0.9972 1.76 0.9966

20B 5 1.10 1.60 51 81 1.86 0.9948 1.85 0.9944

20B 6 1.10 1.60 56 81 1.69 0.9995 1.70 0.9995

20B 7 1.10 1.60 48 68 1.64 0.9988 1.62 0.9989

20B 8 1.10 1.60 54 74 1.93 0.9976 1.94 0.9976

20B 9 1.10 1.60 55 75 1.83 0.9988 1.84 0.9987

20B 10 1.10 1.60 64 89 1.62 0.9987 1.63 0.9989

19B 1

A — — — — — — — —

19B 2 1.10 1.70 58 88 1.45 0.9964 1.46 0.9962

19B 3 1.20 1.70 53 73 1.31 0.9984 1.31 0.9984

19B 4 1.20 1.70 74 99 1.32 0.9980 1.31 0.9981

19B 5 1.20 1.70 65 95 1.49 0.9993 1.49 0.9993

19B 6 1.20 1.70 76 101 1.42 0.9989 1.41 0.9988

19B 7 1.20 1.70 61 86 1.51 0.9985 1.50 0.9984

19B 8 1.20 1.70 74 94 1.53 0.9996 1.52 0.9996

19B 9 1.20 1.70 69 89 1.52 0.9992 1.52 0.9991

19B 10 1.10 1.70 73 98 1.53 0.9983 1.53 0.9983

19B 11 1.10 1.70 53 73 1.39 0.9990 1.38 0.9991

18B 1

A — — — — — — — —

18B 2 1.20 1.70 59 74 2.27 0.9992 2.27 0.9993

18B 3 1.20 1.70 78 93 2.48 0.9973 2.47 0.9969

18B 4 1.20 1.70 58 70 2.44 0.9977 2.43 0.9975

18B 5 1.20 1.70 63 80 2.34 0.9982 2.33 0.9982

18B 6 1.20 1.70 51 66 2.28 0.9973 2.30 0.9974

18B 7 1.20 1.70 52 72 2.40 0.9958 2.38 0.9965

18B 8 1.20 1.70 57 72 2.47 0.9990 2.48 0.9990

18B 9 1.20 1.70 52 67 2.28 0.9979 2.30 0.9976

17B 1

A — — — — — — — —

17B 2 1.20 1.80 62 79 2.00 0.9965 2.01 0.9965

17B 3 1.20 1.80 49 69 1.62 0.9971 1.61 0.9972

17B 4 1.20 1.80 59 79 1.96 0.9980 1.95 0.9986

17B 5 1.20 1.80 52 72 1.70 0.9968 1.72 0.9964

17B 6 1.20 1.80 73 93 1.63 0.9945 1.64 0.9946

17B 7 1.30 1.80 52 72 1.71 0.9972 1.70 0.9974

17B 8 1.30 1.80 62 82 1.49 0.9988 1.49 0.9988

17B 9 1.30 1.80 54 64 1.67 0.9924 1.67 0.9917

17B 10 1.20 1.80 66 86 1.89 0.9979 1.90 0.9978

16B 1

A — — — — — — — —

16B 2 1.40 1.90 70 85 2.18 0.9991 2.18 0.9991
101

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

16B 3 1.30 1.90 61 74 2.15 0.9997 2.15 0.9997

16B 4 1.30 1.90 97 117 2.01 0.9987 2.01 0.9987

16B 5 1.20 1.90 86 101 1.95 0.9974 1.95 0.9971

16B 6 1.20 1.90 55 70 2.01 0.9960 2.00 0.9964

16B 7 1.30 1.90 79 99 2.02 0.9956 2.03 0.9958

16B 8 1.30 1.90 52 70 2.10 0.9982 2.09 0.9981

16B 9 1.30 1.90 55 73 2.03 0.9996 2.02 0.9995

16B 10 1.30 1.90 88 103 1.89 0.9988 1.87 0.9992

15B 1

A — — — — — — — —

15B 2 1.40 2.00 107 120 1.88 0.9966 1.89 0.9963

15B 3 1.30 1.90 80 93 1.89 0.9984 1.87 0.9985

15B 4 1.30 1.90 66 81 2.01 0.9933 2.03 0.9934

15B 5 1.30 2.10 82 102 2.06 0.9970 2.05 0.9969

15B 6 1.40 1.90 65 85 2.11 0.9988 2.10 0.9984

15B 7 1.40 2.00 57 77 2.16 0.9948 2.15 0.9940

15B 8 1.40 2.00 65 76 2.11 0.9918 2.17 0.9887

15B 9 1.40 2.00 69 84 2.07 0.9976 2.07 0.9974

15B 10 1.40 2.00 79 99 1.92 0.9973 1.90 0.9966

20D 1

A — — — — — — — —

20D 2 1.20 1.90 71 86 1.62 0.9990 1.62 0.9989

20D 3 1.20 1.80 52 77 1.86 0.9993 1.86 0.9993

20D 4 1.20 1.80 43 58 1.65 0.9999 1.65 0.9998

20D 5 1.20 1.80 43 58 1.69 0.9994 1.69 0.9993

20D 6 1.20 1.80 34 54 1.67 0.9992 1.68 0.9991

20D 7 1.20 1.80 40 60 1.75 0.9989 1.76 0.9987

20D 8 1.20 1.80 40 60 1.71 0.9993 1.71 0.9994

20D 9 1.20 1.80 36 53 1.74 0.9987 1.73 0.9988

19D 1 1.20 1.90 76 91 1.56 0.9976 1.54 0.9984

19D 2 1.10 1.90 48 68 1.61 0.9983 1.62 0.9982

19D 3 1.20 1.90 40 60 1.67 0.9958 1.66 0.9957

19D 4 1.20 1.90 40 60 1.64 0.9977 1.65 0.9972

19D 5 1.30 1.90 38 58 1.59 0.9942 1.61 0.9938

19D 6 1.30 1.90 40 55 1.37 0.9972 1.38 0.9966

19D 7 1.20 1.90 39 59 1.71 0.9962 1.73 0.9958

19D 8 1.20 1.90 30 50 1.73 0.9974 1.72 0.9975

18D 1 1.20 2.00 50 70 1.85 0.9985 1.85 0.9983

18D 2 1.20 2.00 47 73 1.74 0.9969 1.74 0.9968

18D 3 1.20 2.00 45 65 1.78 0.9982 1.79 0.9981

18D 4 1.20 2.00 37 57 1.83 0.9971 1.83 0.9971

18D 5 1.20 2.00 44 64 1.77 0.9981 1.78 0.9971

18D 6 1.20 2.00 37 53 1.62 0.9975 1.62 0.9975
102

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

18D 7 1.20 2.00 37 57 1.77 0.9924 1.81 0.9876

18D 8 1.20 2.00 48 68 1.83 0.9961 1.84 0.9965

17D 1 1.20 2.00 100 113 1.70 0.9996 1.72 0.9988

17D 2 1.30 2.00 56 71 1.99 0.9970 1.98 0.9970

17D 3 1.30 2.00 64 77 2.02 0.9961 2.05 0.9955

17D 4 1.30 2.00 50 65 1.89 0.9988 1.89 0.9989

17D 5 1.30 2.00 41 53 2.20 0.9976 2.19 0.9977

17D 6 1.40 2.10 44 57 2.11 0.9976 2.11 0.9971

17D 7 1.40 2.10 39 51 2.33 0.9936 2.31 0.9934

17D 8 1.40 2.10 50 62 2.18 0.9959 2.24 0.9940

16D 1 1.40 2.20 195 203 2.06 0.9984 2.07 0.9985

16D 2 1.40 2.20 54 64 1.82 0.9987 1.82 0.9985

16D 3 1.40 2.20 43 55 2.01 0.9980 2.00 0.9978

16D 4 1.40 2.20 51 61 1.96 0.9993 1.97 0.9995

16D 5 1.40 2.20 45 58 2.18 0.9990 2.17 0.9990

16D 6 1.40 2.20 49 64 2.23 0.9984 2.21 0.9987

16D 7 1.40 2.20 45 58 2.08 0.9991 2.07 0.9993

16D 8

B — — — — — — — —

15D 1 1.40 2.20 139 150 2.12 0.9979 2.10 0.9980

15D 2 1.40 2.20 53 68 1.78 0.9984 1.77 0.9982

15D 3 1.40 2.20 47 60 2.22 0.9971 2.22 0.9973

15D 4 1.40 2.20 37 50 2.06 0.9964 2.05 0.9967

15D 5 1.40 2.20 32 43 1.99 0.9931 2.01 0.9935

15D 6 1.40 2.20 31 42 2.12 0.9937 2.10 0.9941

15D 7 1.40 2.20 36 48 1.90 0.9993 1.90 0.9996

15D 8 1.40 2.20 31 41 2.09 0.9912 2.11 0.9910

14D 1 1.60 2.40 121 130 2.50 0.9981 2.53 0.9975

14D 2 1.60 2.40 50 60 2.46 0.9933 2.42 0.9952

14D 3 1.60 2.40 37 47 2.21 0.9989 2.20 0.9988

14D 4 1.60 2.40 33 45 2.09 0.9974 2.09 0.9974

14D 5 1.60 2.40 36 46 2.25 0.9961 2.28 0.9947

14D 6 1.60 2.40 39 50 1.73 0.9947 1.70 0.9938

14D 7 1.60 2.40 32 42 1.86 0.9942 1.87 0.9947

14D 8 1.60 2.40 41 51 2.23 0.9907 2.17 0.9917
103

Bandpass 

Filter Time Filter Positive Peaks Negative Peaks

Cable Run

Low 

(Hz)

High 

(Hz)

Start 

(s)

End 

(s)

Damping

(percent) Correlation

Damping

(percent) Correlation

13D 1 1.60 2.40 66 77 2.12 0.9959 2.10 0.9952

13D 2 1.70 2.50 35 45 2.11 0.9933 2.09 0.9923

13D 3 1.60 2.50 37 45 2.51 0.9962 2.49 0.9966

13D 4 1.60 2.50 69 81 2.45 0.9916 2.49 0.9910

13D 5 1.60 2.50 52 59 2.86 0.9928 2.87 0.9915

13D 6 1.70 2.50 52 60 2.29 0.9979 2.34 0.9963

13D 7 1.70 2.50 39 48 2.40 0.9905 2.43 0.9903

13D 8 1.70 2.50 41 51 2.38 0.9941 2.40 0.9942

A Baseline run.

B Unreadable data.
104

Table 21. Phase 2 summary of average damping values for box 1.

Cable 

Number Mode

Average 

Damping 

Value

(percent)

Max 

Damping 

ValueA

(percent)

Min 

Damping 

ValueA

(percent)

Correlation

Average 

Length of 

Time 

Sample (s)

C20A 1 1.49 1.54 1.45 0.9968 24.5

C19A 1 1.43 1.51 1.35 0.9977 28.0

C18A 1 1.85 1.90 1.79 0.9945 22.3

C17A 1 1.53 1.56 1.50 0.9956 32.9

C16A 1 1.68 1.69 1.67 0.9977 29.9

C15A 1 1.85 1.87 1.83 0.9975 25.0

C14A 1 1.82 1.84 1.79 0.9981 24.0

C13A 1 1.79 1.81 1.76 0.9963 19.8

C12A 1 1.93 1.94 1.92 0.9968 19.1

C20C 1 1.39 1.42 1.36 0.9978 23.1

C19C 1 1.47 1.51 1.43 0.9944 47.2

C18C 1 1.66 1.70 1.62 0.9955 38.3

C17C 1 1.65 1.68 1.62 0.9968 35.8

C16C 1 2.01 2.03 1.98 0.9952 29.2

C15C 1 1.79 1.81 1.78 0.9966 29.8

C14C 1 2.04 2.10 1.98 0.9969 36.3

C20B 1 1.33 1.37 1.30 0.9977 30.1

C19B 1 1.19 1.21 1.18 0.9986 31.8

C18B 1 1.71 1.76 1.65 0.9969 27.6

C17B 1 1.48 1.51 1.45 0.9979 24.8

C16B 1 1.66 1.68 1.64 0.9984 25.3

C15B 1 1.72 1.75 1.68 0.9980 20.2

C20D 1 1.27 1.29 1.24 0.9982 26.8

C19D 1 1.24 1.26 1.22 0.9986 52.0

C18D 1 1.50 1.53 1.46 0.9982 21.0

C17D 1 1.62 1.65 1.59 0.9987 20.4

C16D 1 1.59 1.63 1.56 0.9983 33.3

C15D 1 1.61 1.64 1.58 0.9992 31.4

C14D 1 1.87 1.91 1.84 0.9987 25.3

C13D 1 2.08 2.12 2.05 0.9991 20.5

C20A 2 1.47 1.59 1.34 0.9927 16.9

C19A 2 1.75 1.80 1.70 0.9968 20.7

C18A 2 1.51 1.59 1.44 0.9976 16.4

C17A 2 1.71 1.78 1.64 0.9952 15.2

C16A 2 1.61 1.74 1.49 0.9893 16.9

C15A 2 2.20 2.33 2.08 0.9957 15.0

C14A 2 1.99 2.18 1.81 0.9950 10.8

C13A 2 2.31 2.48 2.15 0.9966 6.9

C12A 2 2.71 2.96 2.45 0.9907 5.8

C20C 2 1.65 1.74 1.57 0.9973 16.7
105

Cable 

Number Mode

Average 

Damping 

Value

(percent)

Max 

Damping 

ValueA

(percent)

Min 

Damping 

ValueA

(percent)

Correlation

Average 

Length of 

Time 

Sample (s)

C19C 2 1.57 1.66 1.49 0.9917 17.0

C18C 2 1.63 1.71 1.56 0.9959 20.1

C17C 2 2.03 2.09 1.97 0.9961 16.6

C16C 2 2.12 2.25 2.00 0.9944 15.6

C15C 2 2.35 2.43 2.27 0.9954 14.1

C14C 2 1.96 2.07 1.86 0.9943 16.0

C20B 2 1.52 1.60 1.44 0.9985 25.0

C19B 2 1.37 1.43 1.31 0.9971 25.5

C18B 2 2.25 2.31 2.18 0.9966 16.8

C17B 2 1.68 1.82 1.55 0.9962 22.8

C16B 2 2.04 2.10 1.98 0.9984 16.9

C15B 2 2.05 2.12 1.98 0.9925 17.6

C20D 2 1.73 1.77 1.68 0.9986 20.3

C19D 2 1.55 1.60 1.50 0.9971 21.9

C18D 2 1.64 1.69 1.60 0.9983 20.3

C17D 2 2.01 2.13 1.90 0.9962 14.4

C16D 2 1.98 2.04 1.93 0.9975 12.0

C15D 2 2.03 2.16 1.91 0.9947 12.8

C14D 2 2.08 2.34 1.81 0.9925 11.9

C13D 2 2.57 2.85 2.29 0.9904 9.3

AMax and min values are for the 90 percent confidence interval on the mean.
106

Table 22. Phase 2 summary of average damping values for box 2.

Cable 

Number Mode

Average 

Damping 

Value

(percent)

Max 

Damping 

ValueA

(percent)

Min 

Damping 

ValueA

(percent) Correlation

Average 

Length of 

Time 

Sample (s)

C20A 1 1.52 1.58 1.47 0.9971 20.9

C19A 1 1.47 1.55 1.40 0.9974 22.3

C18A 1 2.43 2.54 2.33 0.9937 20.1

C17A 1 1.74 1.76 1.71 0.9973 17.8

C16A 1 1.94 1.96 1.91 0.9969 18.6

C15A 1 2.04 2.07 2.01 0.9972 15.0

C14A 1 2.18 2.37 1.99 0.9985 16.0

C13A 1 2.21 2.30 2.11 0.9971 13.2

C12A 1 2.35 2.42 2.27 0.9977 12.6

C20C 1 1.44 1.47 1.41 0.9973 23.1

C19C 1 1.42 1.46 1.38 0.9970 25.0

C18C 1 1.79 1.86 1.72 0.9969 19.1

C17C 1 1.82 1.87 1.77 0.9973 18.3

C16C 1 2.19 2.25 2.14 0.9967 15.7

C15C 1 1.95 1.99 1.91 0.9961 17.0

C14C 1 2.02 2.06 1.97 0.9971 16.6

C20B 1 1.40 1.45 1.35 0.9960 30.1

C19B 1 1.24 1.26 1.22 0.9982 31.8

C18B 1 1.73 1.78 1.67 0.9970 20.6

C17B 1 1.53 1.57 1.50 0.9972 24.8

C16B 1 1.76 1.80 1.73 0.9968 25.3

C15B 1 1.87 1.92 1.83 0.9966 20.2

C20D 1 1.33 1.35 1.30 0.9985 25.5

C19D 1 1.32 1.34 1.29 0.9986 28.5

C18D 1 1.59 1.63 1.56 0.9975 20.5

C17D 1 1.78 1.82 1.74 0.9977 20.4

C16D 1 1.80 1.88 1.72 0.9966 23.3

C15D 1 1.85 1.90 1.81 0.9984 21.0

C14D 1 2.18 2.21 2.15 0.9976 18.4

C13D 1 2.34 2.44 2.24 0.9980 15.6

C20A 2 1.55 1.65 1.44 0.9957 16.6

C19A 2 1.69 1.76 1.61 0.9968 18.1

C18A 2 1.85 1.90 1.80 0.9973 16.0

C17A 2 1.97 2.03 1.92 0.9951 13.9

C16A 2 1.66 1.79 1.52 0.9936 16.3

C15A 2 2.30 2.37 2.24 0.9973 13.8

C14A 2 1.91 2.00 1.81 0.9972 14.5

C13A 2 2.37 2.48 2.26 0.9972 7.0

C12A 2 2.15 2.38 1.92 0.9935 8.4

C20C 2 1.77 1.84 1.70 0.9979 16.7
107

Cable 

Number Mode

Average 

Damping 

Value

(percent)

Max 

Damping 

ValueA

(percent)

Min 

Damping 

ValueA

(percent) Correlation

Average 

Length of 

Time 

Sample (s)

C19C 2 1.74 1.82 1.67 0.9953 15.3

C18C 2 1.79 1.88 1.70 0.9936 20.1

C17C 2 2.17 2.22 2.11 0.9966 14.6

C16C 2 2.37 2.46 2.29 0.9949 14.9

C15C 2 2.19 2.24 2.14 0.9980 14.1

C14C 2 1.94 2.06 1.83 0.9962 15.7

C20B 2 1.73 1.80 1.66 0.9927 22.6

C19B 2 1.45 1.50 1.40 0.9986 24.0

C18B 2 2.37 2.43 2.31 0.9978 15.5

C17B 2 1.74 1.85 1.64 0.9966 18.6

C16B 2 2.04 2.10 1.98 0.9981 16.6

C15B 2 2.02 2.09 1.96 0.9962 16.3

C20D 2 1.71 1.76 1.66 0.9992 18.4

C19D 2 1.61 1.68 1.53 0.9968 18.8

C18D 2 1.77 1.82 1.73 0.9969 20.3

C17D 2 2.05 2.18 1.92 0.9970 13.1

C16D 2 2.05 2.15 1.95 0.9987 11.6

C15D 2 2.03 2.13 1.94 0.9959 12.0

C14D 2 2.17 2.34 1.99 0.9954 10.3

C13D 2 2.39 2.55 2.23 0.9940 9.4

AMax and min values are for the 90 percent confidence interval on the mean.
108

Table 23. Phase 2 summary of average damping values for boxes 1 and 2 combined.

Cable 

Number Mode

Average 

Damping 

Value

(percent)

Max 

Damping 

ValueA

(percent)

Min 

Damping 

ValueA

(percent) Correlation

Average 

Length of 

Time 

Sample (s)

C20A 1 1.51 1.54 1.47 0.9969 22.7

C19A 1 1.45 1.50 1.40 0.9976 25.1

C18A 1 2.14 2.28 2.00 0.9941 21.2

C17A 1 1.63 1.68 1.59 0.9964 25.3

C16A 1 1.81 1.86 1.75 0.9973 24.2

C15A 1 1.95 1.99 1.90 0.9974 20.0

C14A 1 2.00 2.11 1.89 0.9983 20.0

C13A 1 2.00 2.09 1.90 0.9967 16.5

C12A 1 2.14 2.23 2.05 0.9972 15.9

C20C 1 1.41 1.44 1.39 0.9975 23.1

C19C 1 1.44 1.47 1.42 0.9957 36.1

C18C 1 1.73 1.77 1.68 0.9962 28.7

C17C 1 1.74 1.78 1.69 0.9970 27.0

C16C 1 2.10 2.15 2.05 0.9959 22.4

C15C 1 1.87 1.91 1.84 0.9964 23.4

C14C 1 2.03 2.06 1.99 0.9970 26.4

C20B 1 1.37 1.40 1.34 0.9968 30.1

C19B 1 1.22 1.23 1.20 0.9984 31.8

C18B 1 1.72 1.75 1.68 0.9970 24.1

C17B 1 1.51 1.53 1.48 0.9976 24.8

C16B 1 1.71 1.74 1.68 0.9976 25.3

C15B 1 1.80 1.84 1.75 0.9973 20.2

C20D 1 1.30 1.32 1.27 0.9984 26.1

C19D 1 1.28 1.30 1.25 0.9986 40.3

C18D 1 1.54 1.58 1.51 0.9978 20.8

C17D 1 1.70 1.74 1.66 0.9982 20.4

C16D 1 1.70 1.76 1.63 0.9975 28.3

C15D 1 1.73 1.79 1.67 0.9988 26.2

C14D 1 2.03 2.10 1.95 0.9981 21.8

C13D 1 2.21 2.28 2.14 0.9986 18.1

C20A 2 1.51 1.58 1.43 0.9942 16.8

C19A 2 1.72 1.76 1.67 0.9968 19.4

C18A 2 1.68 1.77 1.60 0.9975 16.2

C17A 2 1.84 1.91 1.77 0.9951 14.6

C16A 2 1.64 1.72 1.55 0.9914 16.6

C15A 2 2.25 2.32 2.19 0.9965 14.4

C14A 2 1.95 2.05 1.85 0.9961 12.7

C13A 2 2.34 2.43 2.25 0.9969 7.0

C12A 2 2.43 2.62 2.23 0.9921 7.1

C20C 2 1.71 1.76 1.65 0.9976 16.7
109

Cable 

Number Mode

Average 

Damping 

Value

(percent)

Max 

Damping 

ValueA

(percent)

Min 

Damping 

ValueA

(percent) Correlation

Average 

Length of 

Time 

Sample (s)

C19C 2 1.66 1.72 1.60 0.9935 16.2

C18C 2 1.71 1.77 1.65 0.9948 20.1

C17C 2 2.10 2.15 2.05 0.9963 15.6

C16C 2 2.25 2.34 2.16 0.9947 15.2

C15C 2 2.27 2.32 2.22 0.9967 14.1

C14C 2 1.95 2.02 1.89 0.9952 15.9

C20B 2 1.62 1.69 1.56 0.9956 23.8

C19B 2 1.41 1.45 1.37 0.9978 24.8

C18B 2 2.31 2.36 2.26 0.9972 16.1

C17B 2 1.71 1.79 1.63 0.9964 20.7

C16B 2 2.04 2.07 2.00 0.9983 16.7

C15B 2 2.04 2.08 1.99 0.9943 16.9

C20D 2 1.72 1.75 1.69 0.9989 19.3

C19D 2 1.58 1.62 1.54 0.9969 20.3

C18D 2 1.71 1.75 1.67 0.9976 20.3

C17D 2 2.03 2.11 1.95 0.9966 13.8

C16D 2 2.02 2.07 1.96 0.9981 11.8

C15D 2 2.03 2.11 1.96 0.9953 12.4

C14D 2 2.12 2.26 1.98 0.9940 11.1

C13D 2 2.48 2.63 2.33 0.9922 9.3

AMax and min values are for the 90 percent confidence interval on the mean.

111

APPENDIX D. DAMPING PLOTS

Figure 66. Graph. Phase 1, first mode 90 percent confidence interval on the mean, fan A.

Figure 67. Graph. Phase 1, first mode 90 percent confidence interval on the mean, fan C.
112

Figure 68. Graph. Phase 1, second mode 90 percent confidence interval on the mean, fan A.

Figure 69. Graph. Phase 1, second mode 90 percent confidence interval on the mean, fan C.
113

Figure 70. Graph. Phase 2, first mode 90 percent confidence interval on the mean, fan A.

Figure 71. Graph. Phase 2, first mode 90 percent confidence interval on the mean, fan B.
114

Figure 72. Graph. Phase 2, first mode 90 percent confidence interval on the mean, fan C.

Figure 73. Graph. Phase 2, first mode 90 percent confidence interval on the mean, fan D.
115

Figure 74. Graph. Phase 2, second mode 90 percent confidence interval on the mean, fan A.

Figure 75. Graph. Phase 2, second mode 90 percent confidence interval on the mean, fan B.
116

Figure 76. Graph. Phase 2, second mode 90 percent confidence interval on the mean, fan C.

Figure 77. Graph. Phase 2, second mode 90 percent confidence interval on the mean, fan D.
117

APPENDIX E. AERODYNAMIC DAMPING DATA

Table 24. Phase 1 average wind speed and wind direction.

Total Decay Only Average

Cable Run

Uave

(mi/h)

Ueq

(mi/h)

Uave

(mi/h)

Ueq

(mi/h)

Damping

(percent)

20A 2 0.2 108.0 0.2 0.3 97.9 0.3 0.230

20A 3 0.1 126.1 0.1 0.1 146.7 0.1 0.210

20A 4 0.2 113.7 0.2 0.5 91.5 0.5 0.282

20A 5 0.7 97.2 0.7 0.8 98.7 0.8 0.212

20A 6 1.8 72.9 1.7 1.4 65.2 1.3 0.225

20A 7 1.0 103.2 0.9 0.7 103.6 0.6 0.294

20A 8 0.7 71.1 0.7 0.7 91.6 0.7 0.228

19A 2 1.5 120.4 1.4 1.6 76.1 1.5 0.227

19A 3 0.6 129.1 0.6 0.4 125.6 0.4 0.190

19A 4 0.4 117.6 0.3 0.2 115.7 0.2 0.203

19A 5 0.9 122.8 0.8 0.4 120.9 0.3 0.209

19A 6 0.4 127.5 0.4 0.0 105.1 0.0 0.182

19A 7 0.9 102.1 0.9 1.5 102.4 1.4 0.195

19A 8 0.2 110.3 0.2 0.2 96.7 0.2 0.204

19A 9 1.8 159.9 1.8 1.6 150.0 1.6 0.220

18A 2 0.5 153.3 0.4 0.5 150.4 0.5 0.324

18A 3 0.7 127.6 0.7 0.6 123.0 0.6 0.295

18A 4 0.9 137.6 0.8 1.0 130.8 0.9 0.263

18A 6 0.2 121.2 0.2 0.2 125.0 0.2 0.322

18A 7 1.2 158.7 1.2 1.0 149.7 1.0 0.355

18A 8 0.6 119.3 0.5 0.3 126.8 0.3 0.289

18A 9 0.6 142.3 0.6 0.7 153.4 0.7 0.279

18A 10 0.8 60.9 0.7 0.4 63.9 0.4 0.247

18A 11 0.1 90.6 0.1 0.2 95.5 0.2 0.248

18A 12 0.8 106.4 0.8 0.1 91.6 0.1 0.254

17A 2 0.5 86.3 0.5 0.6 92.4 0.6 0.124

17A 3 0.2 180.3 0.2 0.1 188.8 0.1 0.125

17A 5 0.2 109.5 0.2 0.1 90.3 0.1 0.085

17A 6 0.4 83.9 0.4 0.4 93.6 0.4 0.093

17A 7 0.4 83.0 0.4 0.1 96.9 0.1 0.106

17A 8 0.5 152.5 0.4 0.5 155.5 0.5 0.133

17A 9 0.4 75.6 0.4 0.4 69.4 0.4 0.152

16A 2 1.1 89.4 1.1 1.2 74.8 1.1 0.191

16A 3 0.4 76.3 0.3 0.4 80.4 0.3 0.213

16A 4 0.8 77.5 0.7 1.2 84.1 1.2 0.279

16A 5 0.1 149.8 0.1 0.1 135.2 0.1 0.226

16A 6 0.7 69.1 0.7 0.6 69.3 0.6 0.214

16A 7 2.8 62.5 2.6 2.3 65.3 2.1 0.249

16A 8 1.2 97.0 1.2 0.6 97.6 0.5 0.247

ave ave
118

Total Decay Only Average

Cable Run

Uave

(mi/h)

Ueq

(mi/h)

Uave

(mi/h)

Ueq

(mi/h)

Damping

(percent)

15A 2 2.3 270.4 2.3 2.5 272.4 2.6 0.198

15A 3 1.2 257.8 1.2 1.0 267.3 1.0 0.156

15A 4 1.2 249.7 1.2 1.5 263.5 1.5 0.201

15A 5 0.2 248.3 0.1 0.2 263.3 0.2 0.172

15A 6 0.1 263.6 0.1 0.1 259.1 0.1 0.206

15A 7 0.5 248.4 0.4 0.6 249.9 0.5 0.179

12A 2 13.2 176.0 13.2 16.7 172.6 16.7 0.507

12A 4 9.2 177.8 9.2 8.9 171.9 8.9 0.203

12A 5 9.4 182.1 9.4 10.3 203.1 10.2 0.413

12A 6 11.2 187.8 11.2 13.4 195.5 13.3 0.407

12A 7 11.6 173.7 11.6 13.1 167.2 13.1 0.368

12A 8 13.6 172.6 13.6 11.4 168.7 11.4 0.420

12A 9 10.1 180.1 10.1 9.5 175.6 9.5 0.370

12A 10 12.9 176.9 12.9 13.3 167.6 13.3 0.396

20C 2 4.7 203.8 4.5 5.7 202.2 5.4 0.124

20C 3 4.4 224.9 3.7 5.4 227.3 4.5 0.121

20C 4 12.4 239.8 9.6 13.7 240.1 10.6 0.156

20C 5 11.5 241.8 8.8 11.3 241.4 8.7 0.167

20C 6 6.5 244.8 4.9 4.4 225.0 3.8 0.154

20C 7 12.9 235.7 10.3 13.1 236.3 10.4 0.189

20C 8 6.8 232.8 5.5 5.4 220.5 4.7 0.143

19C 2 5.9 250.0 4.5 7.4 250.6 5.7 0.119

19C 3 12.5 243.1 9.8 13.8 243.8 10.8 0.153

19C 4 11.9 241.1 9.4 11.2 241.7 8.8 0.150

19C 5 11.1 248.3 8.6 10.7 251.0 8.3 0.132

19C 6 8.0 244.9 6.3 8.3 240.6 6.6 0.115

18C 2 5.8 254.0 4.4 4.2 279.0 3.2 0.099

18C 3 5.7 250.6 4.3 5.8 247.4 4.4 0.092

18C 4 5.5 250.8 4.2 4.7 259.8 3.5 0.112

18C 5 6.6 230.8 5.5 7.6 232.0 6.2 0.142

18C 6 4.7 231.2 3.9 4.3 219.7 3.8 0.084

17C 2 6.3 252.0 4.9 6.1 254.0 4.8 0.128

17C 3 5.0 268.6 4.0 4.6 270.5 3.6 0.134

17C 4 5.1 272.6 4.1 4.7 272.0 3.8 0.139

17C 5 4.0 261.9 3.1 3.0 261.9 2.4 0.136

Note: Cables 14A and 13A did not have valid wind data recorded during their testing. 

“Total” refers to wind data recorded over entire test run, while “Decay Only” refers to 

wind data that is only recorded between the start and stop times of the time filter.

ave ave
119

Table 25. Phase 2 average wind speed and wind direction.

Total Decay Only Average

Cable Run Uave

(mi/h)

Ueq

(mi/h)

Uave

(mi/h)

Ueq

(mi/h)

Damping

(percent)

20A 1 0.0 65.7 0.0 0.0 51.9 0.0 1.46

20A 2 0.0 148.5 0.0 0.0 148.5 0.0 1.66

20A 3 0.0 148.5 0.0 0.0 148.5 0.0 1.52

20A 4 0.0 148.5 0.0 0.0 148.5 0.0 1.39

20A 5 0.0 77.6 0.0 0.0 77.6 0.0 1.51

20A 6 0.0 77.6 0.0 0.0 77.6 0.0 1.48

20A 7 0.0 77.6 0.0 0.0 77.6 0.0 1.53

20A 8 0.0 77.6 0.0 0.0 77.6 0.0 1.59

20A 9 0.0 77.6 0.0 0.0 77.6 0.0 1.39

20A 10 0.0 77.6 0.0 0.0 77.6 0.0 1.41

19A 2 0.0 77.6 0.0 0.0 77.6 0.0 1.35

19A 3 0.0 77.6 0.0 0.0 77.6 0.0 1.33

19A 4 0.0 77.6 0.0 0.0 77.6 0.0 1.40

19A 5 0.0 77.6 0.0 0.0 77.6 0.0 1.33

19A 6 0.0 77.6 0.0 0.0 77.6 0.0 1.62

19A 7 0.0 77.6 0.0 0.0 77.6 0.0 1.47

19A 8 0.0 77.6 0.0 0.0 77.6 0.0 1.51

18A 2 0.0 77.6 0.0 0.0 77.6 0.0 1.91

18A 3 0.0 77.6 0.0 0.0 77.6 0.0 1.88

18A 4 0.0 77.6 0.0 0.0 77.6 0.0 1.85

18A 5 0.0 77.6 0.0 0.0 77.6 0.0 1.70

18A 6 0.0 77.6 0.0 0.0 77.6 0.0 1.93

18A 7 0.0 77.6 0.0 0.0 77.6 0.0 1.94

18A 8 0.0 77.6 0.0 0.0 77.6 0.0 1.77

18A 9 0.0 77.6 0.0 0.0 77.6 0.0 1.78

17A 2 0.0 135.8 0.0 0.0 101.5 0.0 1.57

17A 3 0.1 340.3 0.1 0.1 341.5 0.1 1.59

17A 4 0.1 354.3 0.1 0.1 354.3 0.1 1.57

17A 5 0.1 354.3 0.1 0.1 354.3 0.1 1.54

17A 6 0.1 354.3 0.1 0.1 354.3 0.1 1.50

17A 7 0.1 354.3 0.1 0.1 354.3 0.1 1.44

17A 8 0.1 354.3 0.1 0.1 354.3 0.1 1.51

17A 9 0.1 354.3 0.1 0.1 354.3 0.1 1.56

17A 10 0.1 354.3 0.1 0.1 354.3 0.1 1.49

16A 3 1.2 67.4 1.1 1.8 36.0 1.7 1.66

16A 4 1.9 33.2 1.8 2.0 37.2 1.9 1.69

16A 5 2.0 30.3 1.9 1.6 31.2 1.5 1.69

16A 6 2.7 37.8 2.6 2.6 50.5 2.4 1.70

16A 7 2.3 71.4 2.2 2.2 23.9 2.2 1.69

16A 8 1.9 41.7 1.8 1.8 43.4 1.7 1.67

16A 9 1.9 73.7 1.8 1.6 25.4 1.5 1.70

ave ave
120

Total Decay Only Average

Cable Run Uave

(mi/h)

Ueq

(mi/h)

Uave

(mi/h)

Ueq

(mi/h)

Damping

(percent)

16A 10 2.0 20.0 2.0 2.6 23.0 2.6 1.66

16A 11 1.9 32.9 1.8 2.4 25.7 2.3 1.68

15A 2 4.9 102.8 4.9 4.5 83.8 4.5 1.86

15A 3 3.6 95.9 3.6 3.4 92.7 3.4 1.88

15A 4 5.9 93.5 6.0 6.4 98.0 6.4 1.79

15A 5 5.5 114.8 5.2 4.7 140.1 4.5 1.89

15A 6 3.6 104.9 3.6 3.9 101.6 3.9 1.87

15A 7 3.4 90.8 3.5 5.6 85.4 5.6 1.85

15A 8 3.3 55.1 3.2 2.4 44.7 2.3 1.86

15A 9 4.3 80.9 4.3 4.7 76.1 4.7 1.79

15A 10 3.3 95.3 3.3 2.8 95.5 2.8 1.86

14A 2 1.7 111.5 1.6 1.2 115.2 1.1 1.93

14A 3 2.0 107.8 1.9 2.5 110.3 2.4 1.83

14A 4 3.0 93.0 2.9 4.3 88.4 4.3 1.84

14A 5 3.4 128.5 3.2 4.2 131.8 4.0 1.78

14A 6 2.6 102.1 2.5 3.2 93.3 3.2 1.80

14A 7 1.5 184.9 1.5 2.0 179.5 2.0 1.85

14A 8 0.9 163.9 0.9 0.4 179.2 0.4 1.77

14A 9 1.0 168.1 1.0 0.0 236.6 0.0 1.79

14A 10 2.5 101.4 2.5 2.0 108.6 1.9 1.79

14A 11 0.1 183.6 0.1 0.1 100.9 0.1 1.78

13A 2 3.3 93.5 3.4 3.0 105.0 3.0 1.78

13A 3 2.3 122.3 2.3 1.6 145.3 1.6 1.75

13A 4 3.8 136.1 3.7 4.6 134.5 4.4 1.78

13A 5 3.4 136.6 3.3 3.5 115.4 3.5 1.80

13A 6 3.1 133.3 3.0 2.8 129.9 2.7 1.79

13A 7 3.5 118.8 3.4 2.4 113.9 2.4 1.81

13A 8 5.3 123.8 5.1 5.6 124.3 5.4 1.82

13A 9 3.8 118.9 3.7 3.5 133.5 3.3 1.84

13A 10 3.5 123.9 3.4 4.1 140.9 3.9 1.80

13A 11 1.9 105.0 1.9 1.0 97.4 1.0 1.70

12A 2 1.3 131.4 1.3 0.8 132.2 0.7 1.91

12A 3 2.3 120.7 2.3 2.0 94.7 2.0 1.93

12A 4 2.7 88.2 2.8 2.3 69.1 2.3 1.92

12A 5 3.2 92.2 3.3 3.5 83.7 3.6 1.94

12A 6 2.8 77.6 2.8 2.2 96.0 2.2 1.91

12A 7 4.2 81.2 4.2 4.7 84.2 4.8 1.91

12A 8 2.9 105.1 2.9 3.3 127.4 3.1 1.93

12A 9 3.1 90.2 3.2 3.9 91.9 4.0 1.97

12A 10 2.3 97.0 2.4 2.3 122.6 2.2 1.95

12A 11 1.7 121.7 1.6 1.1 140.8 1.0 1.92

20C 5 11.4 206.8 10.7 9.4 216.4 8.4 1.35

ave ave
121

Total Decay Only Average

Cable Run Uave

(mi/h)

Ueq

(mi/h)

Uave

(mi/h)

Ueq

(mi/h)

Damping

(percent)

20C 6 7.8 195.4 7.6 7.3 204.9 7.0 1.34

20C 7 9.6 199.1 9.3 9.4 202.7 9.0 1.45

20C 8 13.5 222.4 11.7 14.3 216.6 12.8 1.39

20C 9 9.3 228.8 7.7 9.0 227.4 7.5 1.38

20C 10 16.0 219.1 14.1 12.7 216.9 11.3 1.45

20C 11 7.5 245.5 5.6 5.9 245.4 4.4 1.42

20C 12 11.3 238.2 8.8 9.0 243.2 6.9 1.33

20C 13 6.0 233.9 4.8 10.3 221.7 9.0 1.44

20C 14 5.5 228.8 4.5 4.9 254.8 3.7 1.35

19C 2 7.5 241.6 5.9 10.5 268.0 8.2 1.50

19C 3 5.5 220.0 4.9 6.2 207.0 5.9 1.52

19C 4 5.2 243.5 4.1 4.4 269.5 3.4 1.59

19C 5 8.9 231.2 7.3 10.5 268.5 8.2 1.47

19C 6 10.7 236.7 8.6 11.7 228.3 9.8 1.44

19C 7 8.7 233.9 7.1 8.7 214.7 7.9 1.53

19C 8 8.2 238.1 6.6 5.0 271.0 3.9 1.36

19C 9 10.1 236.4 8.1 10.3 220.6 9.1 1.42

19C 10 5.9 238.9 4.7 6.1 200.5 5.9 1.41

18C 2 10.2 246.9 7.8 9.8 266.6 7.5 1.75

18C 3 8.6 244.3 6.6 5.9 247.7 4.5 1.58

18C 4 7.7 229.2 6.4 9.8 193.7 9.7 1.65

18C 5 14.8 204.0 14.1 17.7 213.6 16.2 1.79

18C 6 13.4 222.8 11.6 16.1 223.9 13.9 1.62

18C 7 10.1 215.6 9.1 9.3 204.0 8.8 1.64

18C 8 7.3 214.8 6.6 4.9 211.8 4.5 1.65

18C 9 6.5 237.0 5.2 4.5 238.9 3.6 1.65

18C 10 8.4 217.9 7.5 4.6 247.6 3.5 1.63

17C 2 13.5 223.4 11.8 15.7 208.4 14.7 1.71

17C 3 10.1 227.2 8.6 10.0 233.4 8.3 1.67

17C 4 10.1 234.0 8.4 11.8 225.5 10.2 1.61

17C 5 4.9 239.9 4.0 6.2 247.8 4.9 1.60

17C 6 8.0 223.9 7.0 10.3 251.2 8.1 1.68

17C 7 9.4 243.0 7.5 11.3 230.5 9.5 1.63

17C 8 10.4 235.9 8.5 12.9 228.7 11.0 1.66

17C 9 8.3 242.1 6.7 9.7 237.5 7.9 1.65

16C 2 11.9 225.6 10.2 14.8 228.4 12.6 1.96

16C 3 10.3 230.6 8.6 8.1 253.5 6.3 1.96

16C 4 10.5 233.7 8.6 10.2 232.5 8.4 2.07

16C 5 10.6 212.0 9.8 4.8 200.5 4.6 2.00

16C 6 8.4 210.5 7.9 8.5 219.1 7.5 2.08

16C 7 8.3 244.1 6.5 11.0 263.4 8.6 2.03

16C 8 4.7 194.5 4.6 5.3 197.4 5.2 1.97

ave ave
122

Total Decay Only Average

Cable Run Uave

(mi/h)

Ueq

(mi/h)

Uave

(mi/h)

Ueq

(mi/h)

Damping

(percent)

16C 9 7.0 229.3 5.9 6.3 145.5 5.7 1.99

16C 10 4.6 247.8 3.6 5.5 219.1 4.9 2.00

15C 2 7.8 251.2 6.3 7.5 218.5 6.8 1.84

15C 3 5.5 234.3 4.6 3.0 183.1 3.0 1.76

15C 4 11.2 234.6 9.4 15.5 248.5 12.6 1.80

15C 5 8.7 251.7 7.0 10.4 225.8 9.1 1.76

15C 6 6.2 215.3 5.7 8.5 237.6 7.0 1.80

15C 7 15.1 238.6 12.5 20.4 244.6 16.6 1.82

15C 8 7.9 266.4 6.6 9.0 279.4 7.4 1.81

15C 9 10.6 238.4 8.8 12.6 233.5 10.6 1.79

15C 10 10.7 255.7 8.7 12.3 261.9 10.1 1.76

14C 2 8.6 268.5 6.9 11.4 261.5 9.1 1.93

14C 3 13.3 264.9 10.6 14.2 258.0 11.3 2.10

14C 4 10.9 261.6 8.7 13.9 256.3 11.0 2.19

14C 5 4.3 216.3 3.9 3.8 175.0 3.8 1.99

14C 6 8.9 260.1 7.1 10.4 241.5 8.3 2.04

14C 7 12.0 259.9 9.6 12.0 257.2 9.5 2.04

14C 8 10.2 272.8 8.2 9.7 273.0 7.8 1.98

20B 2 3.1 252.6 2.3 2.1 283.3 1.6 1.45

20B 3 0.9 230.9 0.7 0.4 116.7 0.3 1.30

20B 4 6.2 251.9 4.6 5.8 259.3 4.3 1.24

20B 5 2.6 251.5 2.0 1.8 278.8 1.4 1.34

20B 6 3.8 208.6 3.6 4.4 191.3 4.3 1.30

20B 7 4.6 206.5 4.4 5.1 199.6 5.0 1.32

20B 8 4.2 224.1 3.6 4.8 225.9 4.1 1.30

20B 9 2.4 249.3 1.8 2.2 250.8 1.6 1.36

20B 10 2.8 260.4 2.1 1.8 233.6 1.5 1.36

19B 2 4.8 251.6 3.7 5.1 229.2 4.3 1.24

19B 3 6.7 259.4 5.2 7.1 254.4 5.5 1.21

19B 4 7.6 249.7 5.9 7.4 258.5 5.7 1.20

19B 5 2.7 255.1 2.1 3.2 272.7 2.5 1.19

19B 6 2.3 262.1 1.8 0.6 285.7 0.4 1.18

19B 7 5.5 261.1 4.2 2.8 271.7 2.2 1.20

19B 8 2.1 259.3 1.6 2.2 278.6 1.7 1.15

19B 9 3.0 165.3 2.9 4.9 208.3 4.6 1.20

19B 10 3.5 150.1 3.3 0.7 122.0 0.5 1.19

19B 11 6.8 251.4 5.2 6.8 262.9 5.3 1.17

18B 2 5.2 298.2 4.0 5.1 315.4 4.4 1.62

18B 3 2.5 279.5 1.9 0.8 298.6 0.6 1.73

18B 4 5.2 315.8 4.4 6.4 331.8 5.9 1.67

18B 5 3.3 248.4 2.5 3.1 254.6 2.4 1.61

18B 6 1.2 188.6 1.2 1.3 219.2 1.2 1.75

ave ave
123

Total Decay Only Average

Cable Run Uave

(mi/h)

Ueq

(mi/h)

Uave

(mi/h)

Ueq

(mi/h)

Damping

(percent)

18B 7 2.1 210.9 1.9 0.2 93.9 0.2 1.67

18B 8 2.2 156.7 2.1 2.3 127.5 1.9 1.77

18B 9 3.6 227.1 3.1 2.6 290.1 1.9 1.84

17B 2 4.5 243.9 3.6 1.7 216.5 1.6 1.55

17B 3 5.2 236.5 4.2 5.2 244.4 4.1 1.49

17B 4 8.4 192.2 8.3 9.1 180.1 9.1 1.48

17B 5 7.9 249.1 6.3 8.1 248.9 6.4 1.48

17B 6 4.6 238.8 3.7 6.3 245.1 5.0 1.43

17B 7 3.8 259.8 3.0 4.8 265.8 3.8 1.48

17B 8 3.0 223.6 2.6 3.8 223.7 3.3 1.45

17B 9 5.8 239.2 4.7 4.4 199.8 4.2 1.42

17B 10 4.1 241.5 3.3 3.5 249.4 2.8 1.54

16B 2 5.6 244.8 4.4 6.9 284.2 5.4 1.72

16B 3 7.5 213.0 6.9 8.0 235.1 6.5 1.63

16B 4 4.6 231.8 3.9 5.1 200.7 5.0 1.60

16B 5 5.3 261.9 4.1 2.5 282.8 1.9 1.69

16B 6 8.9 247.9 6.9 8.1 244.3 6.4 1.66

16B 7 4.5 267.3 3.6 1.7 248.9 1.3 1.69

16B 8 4.4 272.7 3.5 4.2 247.4 3.3 1.63

16B 9 2.4 237.5 1.9 3.2 260.0 2.5 1.66

16B 10 2.2 223.0 1.9 3.7 239.0 2.9 1.65

15B 2 2.5 221.1 2.2 4.7 246.8 3.8 1.78

15B 3 6.6 225.1 5.8 8.3 224.5 7.3 1.73

15B 4 6.1 236.0 5.1 6.0 229.0 5.2 1.72

15B 5 2.3 232.0 1.9 1.4 293.1 1.2 1.74

15B 6 6.7 308.4 5.7 8.3 315.6 7.3 1.78

15B 7 7.7 251.5 6.2 7.4 254.6 6.0 1.71

15B 8 3.4 257.5 2.7 3.4 268.3 2.8 1.72

15B 9 5.9 293.3 4.8 4.8 267.0 4.0 1.63

15B 10 3.5 270.9 2.9 4.4 289.3 3.6 1.64

20D 2 1.6 236.8 1.4 1.7 228.1 1.5 1.34

20D 3 1.3 218.8 1.2 1.3 220.8 1.2 1.30

20D 4 1.4 204.0 1.3 1.7 199.6 1.7 1.25

20D 5 1.9 204.7 1.9 1.9 204.9 1.8 1.27

20D 6 1.6 225.0 1.5 1.6 223.3 1.5 1.28

20D 7 1.1 225.9 1.0 0.9 211.0 0.9 1.23

20D 8 2.1 206.5 2.0 1.7 220.6 1.6 1.22

20D 9 1.9 194.4 1.9 2.2 209.0 2.1 1.24

19D 1 2.0 199.7 2.0 1.6 199.6 1.5 1.26

19D 2 2.1 193.1 2.1 1.4 189.8 1.4 1.26

19D 3 3.0 191.8 3.0 3.0 183.7 3.0 1.23

19D 4 2.9 189.5 2.9 3.3 187.4 3.3 1.29

ave ave
124

Total Decay Only Average

Cable Run Uave

(mi/h)

Ueq

(mi/h)

Uave

(mi/h)

Ueq

(mi/h)

Damping

(percent)

19D 5 2.7 196.0 2.7 2.9 189.7 2.9 1.25

19D 6 3.6 196.8 3.6 4.1 196.4 4.0 1.24

19D 7 2.9 197.7 2.8 3.3 178.8 3.3 1.17

19D 8 3.5 195.8 3.4 3.2 196.8 3.1 1.23

18D 1 2.1 220.4 1.9 2.5 246.0 2.3 1.50

18D 2 1.2 196.9 1.2 0.7 220.5 0.7 1.54

18D 3 3.4 195.0 3.3 4.8 183.8 4.8 1.48

18D 4 2.8 196.8 2.8 2.0 210.7 1.9 1.44

18D 5 2.3 202.4 2.3 1.4 199.0 1.4 1.57

18D 6 3.5 199.1 3.5 5.3 178.8 5.3 1.49

18D 7 3.2 190.5 3.2 3.0 184.6 3.0 1.43

18D 8 4.4 201.2 4.3 5.3 211.2 5.1 1.52

17D 1 3.4 181.8 3.4 5.6 194.0 5.5 1.66

17D 2 4.7 205.9 4.6 5.4 188.6 5.4 1.67

17D 3 3.2 200.3 3.1 2.5 202.1 2.5 1.56

17D 4 2.9 212.7 2.8 3.5 183.6 3.5 1.59

17D 5 4.6 193.3 4.5 5.0 208.9 4.9 1.60

17D 6 6.3 191.4 6.3 5.6 208.1 5.5 1.66

17D 7 5.8 192.6 5.8 5.2 189.3 5.2 1.57

17D 8 1.9 229.1 1.8 1.4 306.1 1.3 1.66

16D 1 6.3 191.6 6.3 7.2 195.7 7.2 1.69

16D 2 6.8 200.3 6.7 5.0 202.1 4.9 1.63

16D 3 5.9 192.0 5.8 7.5 185.6 7.4 1.54

16D 4 5.2 196.1 5.2 5.7 188.8 5.6 1.57

16D 5 5.2 199.4 5.1 6.5 169.4 6.5 1.58

16D 6 4.2 191.6 4.2 5.4 179.7 5.4 1.55

16D 7 3.9 208.4 3.8 5.4 189.9 5.3 1.61

15D 1 3.1 173.7 3.1 1.4 168.4 1.4 1.62

15D 2 5.9 187.9 5.9 7.0 183.0 7.0 1.62

15D 3 4.9 177.3 4.9 5.0 193.6 5.0 1.63

15D 4 7.3 177.9 7.3 7.1 193.9 7.1 1.52

15D 5 4.2 174.6 4.2 3.3 171.4 3.3 1.60

15D 6 4.9 169.1 4.9 3.2 184.1 3.2 1.68

15D 7 7.7 184.3 7.7 9.5 164.5 9.4 1.57

15D 8 8.9 168.0 8.9 8.6 172.2 8.5 1.62

14D 1 8.4 165.8 8.3 9.6 159.2 9.4 1.96

14D 2 5.1 165.3 5.1 7.7 165.9 7.7 1.83

14D 3 3.2 163.8 3.2 3.0 175.4 3.0 1.88

14D 4 6.0 183.0 6.0 7.7 161.0 7.6 1.83

14D 5 6.1 182.0 6.1 8.0 185.4 8.0 1.83

14D 6 9.4 164.3 9.3 9.9 150.8 9.6 1.83

14D 7 7.2 173.9 7.2 5.1 201.4 5.0 1.88

ave ave
125

Total Decay Only Average

Cable Run Uave

(mi/h)

Ueq

(mi/h)

Uave

(mi/h)

Ueq

(mi/h)

Damping

(percent)

14D 8 7.0 185.1 7.0 10.3 191.5 10.2 1.93

13D 1 8.1 166.8 8.0 7.1 166.2 7.0 2.17

13D 2 5.2 176.5 5.2 5.3 196.4 5.3 2.07

13D 3 9.4 166.5 9.4 11.2 159.3 11.0 2.04

13D 4 5.7 163.8 5.6 1.7 158.1 1.7 2.11

13D 5 8.9 179.8 8.9 10.7 178.3 10.7 2.10

13D 6 6.3 173.5 6.3 6.2 178.5 6.2 2.01

13D 7 6.4 180.4 6.4 5.7 181.6 5.7 2.04

13D 8 5.6 164.9 5.6 3.7 166.7 3.7 2.10

Note: “Total” refers to wind data recorded over entire test run, while “Decay Only” refers to 

wind data that is only recorded between the start and stop times of the time filter.

ave ave

127

APPENDIX F. AERODYNAMIC DAMPING PLOTS

PHASE 1 AERODYNAMIC DAMPING PLOTS

Note that cables 14A and 13A did not have valid wind data recorded during their testing. In these 

plots, “Total” refers to wind data recorded over the entire test run, while “Decay Only” refers to 

wind data that is recorded only between the start and stop values of the time filter.

1 mi/h = 1.61 km/h

Figure 78. Graph. Phase 1, damping ratio versus total equivalent wind speed for cable 20A.

1 mi/h = 1.61 km/h

Figure 79. Graph. Phase 1, damping ratio versus total equivalent wind speed for cable 19A.
128

1 mi/h = 1.61 km/h

Figure 80. Graph. Phase 1, damping ratio versus total equivalent wind speed for cable 18A.

1 mi/h = 1.61 km/h

Figure 81. Graph. Phase 1, damping ratio versus total equivalent wind speed for cable 17A.

1 mi/h = 1.61 km/h

Figure 82. Graph. Phase 1, damping ratio versus total equivalent wind speed for cable 16A.
129

1 mi/h = 1.61 km/h

Figure 83. Graph. Phase 1, damping ratio versus total equivalent wind speed for cable 15A.

1 mi/h = 1.61 km/h

Figure 84. Graph. Phase 1, damping ratio versus total equivalent wind speed for cable 12A.

1 mi/h = 1.61 km/h

Figure 85. Graph. Phase 1, damping ratio versus total equivalent wind speed for cable 20C.
130

1 mi/h = 1.61 km/h

Figure 86. Graph. Phase 1, damping ratio versus total equivalent wind speed for cable 19C.

1 mi/h = 1.61 km/h

Figure 87. Graph. Phase 1, damping ratio versus total equivalent wind speed for cable 18C.

1 mi/h = 1.61 km/h

Figure 88. Graph. Phase 1, damping ratio versus total equivalent wind speed for cable 17C.
131

1 mi/h = 1.61 km/h

Figure 89. Graph. Phase 1, damping ratio versus decay-only equivalent wind speed for 

cable 20A.

1 mi/h = 1.61 km/h

Figure 90. Graph. Phase 1, damping ratio versus decay-only equivalent wind speed for 

cable 19A.
132

1 mi/h = 1.61 km/h

Figure 91. Graph. Phase 1, damping ratio versus decay-only equivalent wind speed for 

cable 18A.

1 mi/h = 1.61 km/h

Figure 92. Graph. Phase 1, damping ratio versus decay-only equivalent wind speed for 

cable 17A.
133

1 mi/h = 1.61 km/h

Figure 93. Graph. Phase 1, damping ratio versus decay-only equivalent wind speed for 

cable 16A.

1 mi/h = 1.61 km/h

Figure 94. Graph. Phase 1, damping ratio versus decay-only equivalent wind speed for 

cable 15A.
134

1 mi/h = 1.61 km/h

Figure 95. Graph. Phase 1, damping ratio versus decay-only equivalent wind speed for 

cable 12A.

1 mi/h = 1.61 km/h

Figure 96. Graph. Phase 1, damping ratio versus decay-only equivalent wind speed for 

cable 20C.
135

1 mi/h = 1.61 km/h

Figure 97. Graph. Phase 1, damping ratio versus decay-only equivalent wind speed for 

cable 19C.

1 mi/h = 1.61 km/h

Figure 98. Graph. Phase 1, damping ratio versus decay-only equivalent wind speed for 

cable 18C.
136

1 mi/h = 1.61 km/h

Figure 99. Graph. Phase 1, damping ratio versus decay-only equivalent wind speed for 

cable 17C.

PHASE 2 AERODYNAMIC DAMPING PLOTS

Note that cables 20A, 19A, 18A, and 17A did not have significant wind data recorded during 

their testing. In these plots, “Total” refers to wind data recorded over the entire test run, while 

“Decay Only” refers to wind data that is recorded only between the start and stop values of the 

time filter.

1 mi/h = 1.61 km/h

Figure 100. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 16A.
137

1 mi/h = 1.61 km/h

Figure 101. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 15A.

1 mi/h = 1.61 km/h

Figure 102. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 14A.
138

1 mi/h = 1.61 km/h

Figure 103. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 13A.

1 mi/h = 1.61 km/h

Figure 104. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 12A.
139

1 mi/h = 1.61 km/h

Figure 105. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 20C.

1 mi/h = 1.61 km/h

Figure 106. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 19C.
140

1 mi/h = 1.61 km/h

Figure 107. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 18C.

1 mi/h = 1.61 km/h

Figure 108. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 17C.
141

1 mi/h = 1.61 km/h

Figure 109. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 16C.

1 mi/h = 1.61 km/h

Figure 110. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 15C.
142

1 mi/h = 1.61 km/h

Figure 111. Graph. Phase 2, damping ratio versus total equivalent wind speed for

cable 14C.

1 mi/h = 1.61 km/h

Figure 112. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 20B.
143

1 mi/h = 1.61 km/h

Figure 113. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 19B.

1 mi/h = 1.61 km/h

Figure 114. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 18B.
144

1 mi/h = 1.61 km/h

Figure 115. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 17B.

1 mi/h = 1.61 km/h

Figure 116. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 16B.
145

1 mi/h = 1.61 km/h

Figure 117. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 15B.

1 mi/h = 1.61 km/h

Figure 118. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 20D.
146

1 mi/h = 1.61 km/h

Figure 119. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 19D.

1 mi/h = 1.61 km/h

Figure 120. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 18D.
147

1 mi/h = 1.61 km/h

Figure 121. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 17D.

1 mi/h = 1.61 km/h

Figure 122. Graph. Phase 2, damping ratio versus total equivalent wind speed for

cable 16D.
148

1 mi/h = 1.61 km/h

Figure 123. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 15D.

1 mi/h = 1.61 km/h

Figure 124. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 14D.
149

1 mi/h = 1.61 km/h

Figure 125. Graph. Phase 2, damping ratio versus total equivalent wind speed for 

cable 13D.

1 mi/h = 1.61 km/h

Figure 126. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 16A.
150

1 mi/h = 1.61 km/h

Figure 127. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 15A.

1 mi/h = 1.61 km/h

Figure 128. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 14A.
151

1 mi/h = 1.61 km/h

Figure 129. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 13A.

1 mi/h = 1.61 km/h

Figure 130. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 12A.
152

1 mi/h = 1.61 km/h

Figure 131. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 20C.

1 mi/h = 1.61 km/h

Figure 132. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 19C.
153

1 mi/h = 1.61 km/h

Figure 133. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 18C.

1 mi/h = 1.61 km/h

Figure 134. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 17C.
154

1 mi/h = 1.61 km/h

Figure 135. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 16C.

1 mi/h = 1.61 km/h

Figure 136. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 15C.
155

1 mi/h = 1.61 km/h

Figure 137. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 14C.

1 mi/h = 1.61 km/h

Figure 138. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 20B.
156

1 mi/h = 1.61 km/h

Figure 139. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 19B.

1 mi/h = 1.61 km/h

Figure 140. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 18B.
157

1 mi/h = 1.61 km/h

Figure 141. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 17B.

1 mi/h = 1.61 km/h

Figure 142. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 16B.
158

1 mi/h = 1.61 km/h

Figure 143. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 15B.

1 mi/h = 1.61 km/h

Figure 144. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 20D.
159

1 mi/h = 1.61 km/h

Figure 145. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 19D.

1 mi/h = 1.61 km/h

Figure 146. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 18D.
160

1 mi/h = 1.61 km/h

Figure 147. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 17D.

1 mi/h = 1.61 km/h

Figure 148. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 16D.
161

1 mi/h = 1.61 km/h

Figure 149. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 15D.

1 mi/h = 1.61 km/h

Figure 150. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 14D.
162

1 mi/h = 1.61 km/h

Figure 151. Graph. Phase 2, damping ratio versus decay-only equivalent wind speed for 

cable 13D.
163

APPENDIX G. CABLE PROPERTIES

Table 26. General properties of tested cables (SI units).

Cable 

Number

Strand 

Number

Unit 

Mass

(kg/m)

Diameter

(m)

Length

(m)



(degree)

20A 72 106.1 0.40 157.3 27.9

19A 72 106.1 0.40 151.9 28.9

18A 72 106.1 0.40 144.1 28.4

17A 70 103.7 0.40 138.8 29.6

16A 71 104.9 0.40 131.0 29.0

15A 68 101.4 0.40 125.6 30.4

14A 70 103.7 0.40 117.8 29.8

13A 68 101.4 0.40 112.5 31.3

12A 69 102.5 0.40 104.7 30.8

20B 72 106.1 0.40 181.2 22.1

19B 72 106.1 0.40 174.4 23.0

18B 72 106.1 0.40 165.8 22.5

17B 70 103.7 0.40 159.1 23.6

16B 71 104.9 0.40 150.6 23.3

15B 68 101.4 0.40 144.0 24.4

20C 72 106.1 0.40 181.2 22.1

19C 72 106.1 0.40 174.4 23.0

18C 72 106.1 0.40 165.8 22.5

17C 70 103.7 0.40 159.1 23.6

16C 71 104.9 0.40 150.6 23.3

15C 68 101.4 0.40 144.0 24.4

14C 70 103.7 0.40 135.1 23.7

20D 72 106.1 0.40 157.4 27.9

19D 72 106.1 0.40 152.0 28.9

18D 72 106.1 0.40 144.2 28.4

17D 70 103.7 0.40 138.8 29.6

16D 71 104.9 0.40 131.0 29.0

15D 68 101.4 0.40 125.6 30.4

14D 70 103.7 0.40 117.8 29.8

13D 68 101.4 0.40 112.5 31.3

1

The angle of the cable’s inclination from the horizontal.


164

Table 27. General properties of tested cables (English units).

Cable 

Number

Strand 

Number

Unit 

Mass

(slug/ft)

Diameter

(ft)

Length

(ft)



(degree)

20A 72 2.216 1.312 515.9 27.9

19A 72 2.216 1.312 498.3 28.9

18A 72 2.216 1.312 472.8 28.4

17A 70 2.167 1.312 455.2 29.6

16A 71 2.191 1.312 429.7 29.0

15A 68 2.118 1.312 412.1 30.4

14A 70 2.167 1.312 386.5 29.8

13A 68 2.118 1.312 369.1 31.3

12A 69 2.142 1.312 343.4 30.8

20B 72 2.216 1.312 594.3 22.1

19B 72 2.216 1.312 572.1 23.0

18B 72 2.216 1.312 543.7 22.5

17B 70 2.167 1.312 521.7 23.6

16B 71 2.191 1.312 494.1 23.3

15B 68 2.118 1.312 472.2 24.4

20C 72 2.216 1.312 594.3 22.1

19C 72 2.216 1.312 572.1 23.0

18C 72 2.216 1.312 543.7 22.5

17C 70 2.167 1.312 521.7 23.6

16C 71 2.191 1.312 494.1 23.3

15C 68 2.118 1.312 472.2 24.4

14C 70 2.167 1.312 443.0 23.7

20D 72 2.216 1.312 516.2 27.9

19D 72 2.216 1.312 498.4 28.9

18D 72 2.216 1.312 472.9 28.4

17D 70 2.167 1.312 455.2 29.6

16D 71 2.191 1.312 429.7 29.0

15D 68 2.118 1.312 412.1 30.4

14D 70 2.167 1.312 386.5 29.8

13D 68 2.118 1.312 369.1 31.3

1

The angle of the cable’s inclination from the horizontal.


165

ACKNOWLEDGEMENTS

The authors would like to thank MaineDOT for providing access to the bridge construction site 

and support in performing this work. We would also like to thank the bridge designers, Figg 

Engineering Group, for providing information regarding the bridge design and cable details. 

Additionally, we would like to express our gratitude to the construction team, Cianbro and Reed 

& Reed, for their vital assistance and logistical support during testing and accommodation of our 

activities during bridge construction. Finally, we would like to acknowledge the creators of 

Generic Mapping Tools for developing the software used to generate the map of the bridge site 

and the contributors of OpenStreetMap for providing their road data.

167

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http://www.asce.org/pressroom/news/display_press.cfm?uid=3272.

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New York, NY, 2003.

6. Simiu, E., and Scanlan, R.H., Wind Effects on Structures, 3rd Ed., John Wiley & Sons, 

New York, NY, 1996.

7. Irwin, P.A., “Wind Vibrations of Cables on Cable-Stayed Bridges,” Proceedings of ASCE 

Structures Congress, 1997, pp. 383–387.

8. Post-Tensioning Institute, PTI DC45.1-12: Recommendations for Stay Cable Design, 

Testing, and Installation, Sixth Edition, 2012.

9. Kumarasena, S., Jones, N.P., Irwin, P., and Taylor, P., Wind-Induced Vibration of Stay 

Cables, Report Number FHWA-HRT-05-083, Federal Highway Administration, 

McLean, VA, 2007.

10. Macdonald, J., “Separation of the Contributions of Aerodynamic and Structural Damping in 

Vibrations of Inclined Cables,” Journal of Wind Engineering and Industrial Aerodynamics, 

Vol. 90, 2002, pp. 19–39.
HRDI-50/09-14(WEB)E